3758252256 has 360 divisors, whose sum is σ = 12701625552. Its totient is φ = 1087257600.

The previous prime is 3758252213. The next prime is 3758252261. The reversal of 3758252256 is 6522528573.

3758252256 is a `hidden beast` number, since 3 + 75 + 8 + 2 + 522 + 56 = 666.

Its product of digits (1008000) is a multiple of the sum of its prime divisors (560).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7213276 + ... + 7213796.

Almost surely, 2^3758252256 is an apocalyptic number.

3758252256 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 3758252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350812776).

3758252256 is an abundant number, since it is smaller than the sum of its proper divisors (8943373296).

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

3758252256 is a wasteful number, since it uses less digits than its factorization.

3758252256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 560 counting only the distinct ones).

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

The square root of 3758252256 is about 61304.5859296024. The cubic root of 3758252256 is about 1554.7550481775.

The spelling of 3758252256 in words is "three billion, seven hundred fifty-eight million, two hundred fifty-two thousand, two hundred fifty-six".