38764930752 has 196 divisors, whose sum is σ = 117064313496. Its totient is φ = 12727756800.

The previous prime is 38764930679. The next prime is 38764930769. The reversal of 38764930752 is 25703946783.

38764930752 is a `hidden beast` number, since 3 + 87 + 6 + 493 + 0 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3119752 + ... + 3132152.

Almost surely, 2^38764930752 is an apocalyptic number.

38764930752 is a gapful number since it is divisible by the number (32) 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 38764930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58532156748).

38764930752 is an abundant number, since it is smaller than the sum of its proper divisors (78299382744).

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

38764930752 is an equidigital number, since it uses as much as digits as its factorization.

38764930752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12498 (or 12473 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 38764930752 in words is "thirty-eight billion, seven hundred sixty-four million, nine hundred thirty thousand, seven hundred fifty-two".