3495920256 has 256 divisors, whose sum is σ = 11023344000. Its totient is φ = 1086898176.

The previous prime is 3495920249. The next prime is 3495920261. The reversal of 3495920256 is 6520295943.

3495920256 is a `hidden beast` number, since 3 + 4 + 9 + 592 + 0 + 2 + 56 = 666.

It is a super-2 number, since 2×3495920256² = 24442916872622211072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 9223875 + ... + 9224253.

Almost surely, 2^3495920256 is an apocalyptic number.

3495920256 is a gapful number since it is divisible by the number (36) 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 3495920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511672000).

3495920256 is an abundant number, since it is smaller than the sum of its proper divisors (7527423744).

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

3495920256 is a wasteful number, since it uses less digits than its factorization.

3495920256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3495920256 is about 59126.3076472732. The cubic root of 3495920256 is about 1517.7043277342.

The spelling of 3495920256 in words is "three billion, four hundred ninety-five million, nine hundred twenty thousand, two hundred fifty-six".