38337118560 has 672 divisors, whose sum is σ = 148120666848. Its totient is φ = 9316270080.

The previous prime is 38337118559. The next prime is 38337118583. The reversal of 38337118560 is 6581173383.

38337118560 is a `hidden beast` number, since 3 + 8 + 3 + 3 + 71 + 18 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 198637824 + ... + 198638016.

It is an arithmetic number, because the mean of its divisors is an integer number (220417659).

Almost surely, 2^38337118560 is an apocalyptic number.

38337118560 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 38337118560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74060333424).

38337118560 is an abundant number, since it is smaller than the sum of its proper divisors (109783548288).

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

38337118560 is a wasteful number, since it uses less digits than its factorization.

38337118560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 38337118560 in words is "thirty-eight billion, three hundred thirty-seven million, one hundred eighteen thousand, five hundred sixty".