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3425880000 = 2635428549
BaseRepresentation
bin1100110000110010…
…1100011111000000
322211202101201212110
43030030230133000
524004011130000
61323540255320
7150616333224
oct31414543700
98752351773
103425880000
1114a8902394
127b73a1540
134279b773a
14246dc6784
15150b6a850
hexcc32c7c0

3425880000 has 140 divisors (see below), whose sum is σ = 11327155400. Its totient is φ = 913536000.

The previous prime is 3425879971. The next prime is 3425880011. The reversal of 3425880000 is 885243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3425880000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105726 + ... + 134274.

Almost surely, 23425880000 is an apocalyptic number.

3425880000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5663577700).

3425880000 is an abundant number, since it is smaller than the sum of its proper divisors (7901275400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3425880000 is an equidigital number, since it uses as much as digits as its factorization.

3425880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28584 (or 28559 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 3425880000 is about 58531.0174181177. The cubic root of 3425880000 is about 1507.5002131410.

The spelling of 3425880000 in words is "three billion, four hundred twenty-five million, eight hundred eighty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 28549 30000 40000 57098 60000 85647 114196 120000 142745 171294 228392 285490 342588 428235 456784 570980 685176 713725 856470 913568 1141960 1370352 1427450 1712940 1827136 2141175 2283920 2740704 2854900 3425880 3568625 4282350 4567840 5481408 5709800 6851760 7137250 8564700 9135680 10705875 11419600 13703520 14274500 17129400 17843125 21411750 22839200 27407040 28549000 34258800 35686250 42823500 45678400 53529375 57098000 68517600 71372500 85647000 107058750 114196000 137035200 142745000 171294000 214117500 228392000 285490000 342588000 428235000 570980000 685176000 856470000 1141960000 1712940000 3425880000