38755368960 has 416 divisors, whose sum is σ = 154618820352. Its totient is φ = 8053063680.

The previous prime is 38755368923. The next prime is 38755368973. The reversal of 38755368960 is 6986355783.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 38755368894 and 38755368903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3523215355 + ... + 3523215365.

Almost surely, 2^38755368960 is an apocalyptic number.

38755368960 is a gapful number since it is divisible by the number (30) 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 38755368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77309410176).

38755368960 is an abundant number, since it is smaller than the sum of its proper divisors (115863451392).

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

38755368960 is an frugal number, since it uses more digits than its factorization.

38755368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 38755368960 in words is "thirty-eight billion, seven hundred fifty-five million, three hundred sixty-eight thousand, nine hundred sixty".