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3679076352 = 2143717237
BaseRepresentation
bin1101101101001010…
…0100000000000000
3100111101211102222010
43123102210000000
530013320420402
61405023212520
7160112430060
oct33322440000
910441742863
103679076352
111618819576
12868147140
134682a8c73
1426c8953a0
15167ed1a6c
hexdb4a4000

3679076352 has 360 divisors, whose sum is σ = 12232314304. Its totient is φ = 962592768.

The previous prime is 3679076341. The next prime is 3679076353. The reversal of 3679076352 is 2536709763.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3679076353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99434478 + ... + 99434514.

Almost surely, 23679076352 is an apocalyptic number.

3679076352 is a gapful number since it is divisible by the number (32) 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 3679076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6116157152).

3679076352 is an abundant number, since it is smaller than the sum of its proper divisors (8553237952).

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

3679076352 is an equidigital number, since it uses as much as digits as its factorization.

3679076352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The square root of 3679076352 is about 60655.3901314632. The cubic root of 3679076352 is about 1543.7593475326.

The spelling of 3679076352 in words is "three billion, six hundred seventy-nine million, seventy-six thousand, three hundred fifty-two".