3874730256 has 240 divisors, whose sum is σ = 11677585920. Its totient is φ = 1242915840.

The previous prime is 3874730239. The next prime is 3874730329. The reversal of 3874730256 is 6520374783.

3874730256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17375361 + ... + 17375583.

It is an arithmetic number, because the mean of its divisors is an integer number (48656608).

Almost surely, 2^3874730256 is an apocalyptic number.

3874730256 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 3874730256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838792960).

3874730256 is an abundant number, since it is smaller than the sum of its proper divisors (7802855664).

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

3874730256 is a wasteful number, since it uses less digits than its factorization.

3874730256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3874730256 is about 62247.3313162902. The cubic root of 3874730256 is about 1570.6538793894.

The spelling of 3874730256 in words is "three billion, eight hundred seventy-four million, seven hundred thirty thousand, two hundred fifty-six".