38315360160 has 1152 divisors, whose sum is σ = 171729911808. Its totient is φ = 7547904000.

The previous prime is 38315360143. The next prime is 38315360173. The reversal of 38315360160 is 6106351383.

It is a happy number.

38315360160 is a `hidden beast` number, since 38 + 3 + 15 + 3 + 601 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 244046802 + ... + 244046958.

It is an arithmetic number, because the mean of its divisors is an integer number (149071104).

Almost surely, 2^38315360160 is an apocalyptic number.

38315360160 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 38315360160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85864955904).

38315360160 is an abundant number, since it is smaller than the sum of its proper divisors (133414551648).

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

38315360160 is a wasteful number, since it uses less digits than its factorization.

38315360160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 38315360160 in words is "thirty-eight billion, three hundred fifteen million, three hundred sixty thousand, one hundred sixty".