38784936960 has 1056 divisors, whose sum is σ = 177681434112. Its totient is φ = 7573340160.

The previous prime is 38784936929. The next prime is 38784936989. The reversal of 38784936960 is 6963948783.

38784936960 is a `hidden beast` number, since 3 + 87 + 8 + 493 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 60318399 + ... + 60319041.

Almost surely, 2^38784936960 is an apocalyptic number.

38784936960 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 38784936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88840717056).

38784936960 is an abundant number, since it is smaller than the sum of its proper divisors (138896497152).

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

38784936960 is a wasteful number, since it uses less digits than its factorization.

38784936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 38784936960 in words is "thirty-eight billion, seven hundred eighty-four million, nine hundred thirty-six thousand, nine hundred sixty".