38944696320 has 768 divisors, whose sum is σ = 146995430400. Its totient is φ = 9889579008.

The previous prime is 38944696319. The next prime is 38944696361. The reversal of 38944696320 is 2369644983.

38944696320 is a `hidden beast` number, since 3 + 89 + 446 + 96 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 828610537 + ... + 828610583.

It is an arithmetic number, because the mean of its divisors is an integer number (191400300).

Almost surely, 2^38944696320 is an apocalyptic number.

38944696320 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 38944696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73497715200).

38944696320 is an abundant number, since it is smaller than the sum of its proper divisors (108050734080).

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

38944696320 is an frugal number, since it uses more digits than its factorization.

38944696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 38944696320 in words is "thirty-eight billion, nine hundred forty-four million, six hundred ninety-six thousand, three hundred twenty".