38917748913120 has 576 divisors, whose sum is σ = 165601617592320. Its totient is φ = 8085618892800.

The previous prime is 38917748913107. The next prime is 38917748913151. The reversal of 38917748913120 is 2131984771983.

38917748913120 is a `hidden beast` number, since 3 + 8 + 9 + 17 + 7 + 489 + 13 + 120 = 666.

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

It is a congruent number.

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, 896886625 + ... + 896930015.

It is an arithmetic number, because the mean of its divisors is an integer number (287502808320).

Almost surely, 2^{38917748913120} is an apocalyptic number.

38917748913120 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 38917748913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82800808796160).

38917748913120 is an abundant number, since it is smaller than the sum of its proper divisors (126683868679200).

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

38917748913120 is a wasteful number, since it uses less digits than its factorization.

38917748913120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51519 (or 51508 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 38917748913120 in words is "thirty-eight trillion, nine hundred seventeen billion, seven hundred forty-eight million, nine hundred thirteen thousand, one hundred twenty".