38516160 has 112 divisors (see below), whose sum is σ = 124760736. Its totient is φ = 10063872.

The previous prime is 38516123. The next prime is 38516189. The reversal of 38516160 is 6161583.

It is a super-2 number, since 2×38516160² = 2966989162291200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50502 + ... + 51258.

Almost surely, 2^38516160 is an apocalyptic number.

38516160 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 38516160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62380368).

38516160 is an abundant number, since it is smaller than the sum of its proper divisors (86244576).

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

38516160 is a wasteful number, since it uses less digits than its factorization.

38516160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 38516160 is about 6206.1388962865. The cubic root of 38516160 is about 337.7129081850.

It can be divided in two parts, 3851 and 6160, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 38516160 in words is "thirty-eight million, five hundred sixteen thousand, one hundred sixty".