38172160 has 160 divisors (see below), whose sum is σ = 104493312. Its totient is φ = 13271040.

The previous prime is 38172151. The next prime is 38172163. The reversal of 38172160 is 6127183.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×38172160² = 2914227598131200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38172163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031662 + ... + 1031698.

Almost surely, 2^38172160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52246656).

38172160 is an abundant number, since it is smaller than the sum of its proper divisors (66321152).

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

38172160 is a wasteful number, since it uses less digits than its factorization.

38172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 38172160 is about 6178.3622425364. The cubic root of 38172160 is about 336.7044931302.

The spelling of 38172160 in words is "thirty-eight million, one hundred seventy-two thousand, one hundred sixty".