38852263296 has 768 divisors, whose sum is σ = 146644992000. Its totient is φ = 9580032000.

The previous prime is 38852263273. The next prime is 38852263321. The reversal of 38852263296 is 69236225883.

38852263296 is a `hidden beast` number, since 3 + 88 + 522 + 6 + 32 + 9 + 6 = 666.

Its product of digits (7464960) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 195237405 + ... + 195237603.

It is an arithmetic number, because the mean of its divisors is an integer number (190944000).

Almost surely, 2^38852263296 is an apocalyptic number.

38852263296 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 38852263296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73322496000).

38852263296 is an abundant number, since it is smaller than the sum of its proper divisors (107792728704).

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

38852263296 is a wasteful number, since it uses less digits than its factorization.

38852263296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 324 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 38852263296 in words is "thirty-eight billion, eight hundred fifty-two million, two hundred sixty-three thousand, two hundred ninety-six".