38407944960 has 1440 divisors, whose sum is σ = 182062121472. Its totient is φ = 7484866560.

The previous prime is 38407944937. The next prime is 38407944997. The reversal of 38407944960 is 6944970483.

It is a happy number.

38407944960 is a `hidden beast` number, since 3 + 84 + 0 + 79 + 4 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 38407944897 and 38407944906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 135716979 + ... + 135717261.

Almost surely, 2^38407944960 is an apocalyptic number.

38407944960 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 38407944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91031060736).

38407944960 is an abundant number, since it is smaller than the sum of its proper divisors (143654176512).

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

38407944960 is a wasteful number, since it uses less digits than its factorization.

38407944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38407944960 in words is "thirty-eight billion, four hundred seven million, nine hundred forty-four thousand, nine hundred sixty".