38513160 has 384 divisors, whose sum is σ = 161740800. Its totient is φ = 7741440.

The previous prime is 38513159. The next prime is 38513207. The reversal of 38513160 is 6131583.

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, 1242345 + ... + 1242375.

It is an arithmetic number, because the mean of its divisors is an integer number (421200).

Almost surely, 2^38513160 is an apocalyptic number.

38513160 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 38513160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80870400).

38513160 is an abundant number, since it is smaller than the sum of its proper divisors (123227640).

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

38513160 is a wasteful number, since it uses less digits than its factorization.

38513160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 38513160 is about 6205.8971954102. The cubic root of 38513160 is about 337.7041398738.

The spelling of 38513160 in words is "thirty-eight million, five hundred thirteen thousand, one hundred sixty".