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3425879968 = 257192941677
BaseRepresentation
bin1100110000110010…
…1100011110100000
322211202101201211021
43030030230132200
524004011124333
61323540255224
7150616333150
oct31414543640
98752351737
103425879968
1114a8902365
127b73a1514
134279b7714
14246dc6760
15150b6a82d
hexcc32c7a0

3425879968 has 192 divisors, whose sum is σ = 8611142400. Its totient is φ = 1308303360.

The previous prime is 3425879959. The next prime is 3425879971. The reversal of 3425879968 is 8699785243.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5060046 + ... + 5060722.

It is an arithmetic number, because the mean of its divisors is an integer number (44849700).

Almost surely, 23425879968 is an apocalyptic number.

3425879968 is a gapful number since it is divisible by the number (38) 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 3425879968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305571200).

3425879968 is an abundant number, since it is smaller than the sum of its proper divisors (5185262432).

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

3425879968 is a wasteful number, since it uses less digits than its factorization.

3425879968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 775 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The square root of 3425879968 is about 58531.0171447584. The cubic root of 3425879968 is about 1507.5002084473.

The spelling of 3425879968 in words is "three billion, four hundred twenty-five million, eight hundred seventy-nine thousand, nine hundred sixty-eight".