3642656256 has 120 divisors (see below), whose sum is σ = 10555363104. Its totient is φ = 1209323520.

The previous prime is 3642656221. The next prime is 3642656261. The reversal of 3642656256 is 6526562463.

3642656256 is a `hidden beast` number, since 3 + 64 + 26 + 562 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1247310 + ... + 1250226.

Almost surely, 2^3642656256 is an apocalyptic number.

3642656256 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 3642656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5277681552).

3642656256 is an abundant number, since it is smaller than the sum of its proper divisors (6912706848).

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

3642656256 is a wasteful number, since it uses less digits than its factorization.

3642656256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3193 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 3642656256 is about 60354.4220086648. The cubic root of 3642656256 is about 1538.6484256577.

The spelling of 3642656256 in words is "three billion, six hundred forty-two million, six hundred fifty-six thousand, two hundred fifty-six".