3782552256 has 210 divisors, whose sum is σ = 13044185748. Its totient is φ = 1080656640.

The previous prime is 3782552237. The next prime is 3782552261. The reversal of 3782552256 is 6522552873.

3782552256 is a `hidden beast` number, since 3 + 78 + 2 + 5 + 522 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 246571 + ... + 261461.

Almost surely, 2^3782552256 is an apocalyptic number.

3782552256 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 3782552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522092874).

3782552256 is an abundant number, since it is smaller than the sum of its proper divisors (9261633492).

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

3782552256 is a wasteful number, since it uses less digits than its factorization.

3782552256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14929 (or 14903 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 3782552256 is about 61502.4573167609. The cubic root of 3782552256 is about 1558.0987488789.

The spelling of 3782552256 in words is "three billion, seven hundred eighty-two million, five hundred fifty-two thousand, two hundred fifty-six".