38814160 has 80 divisors (see below), whose sum is σ = 112528512. Its totient is φ = 12096000.

The previous prime is 38814119. The next prime is 38814163. The reversal of 38814160 is 6141883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38814163) 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, 3010 + ... + 9310.

Almost surely, 2^38814160 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 38814160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56264256).

38814160 is an abundant number, since it is smaller than the sum of its proper divisors (73714352).

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

38814160 is a wasteful number, since it uses less digits than its factorization.

38814160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6332 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 38814160 is about 6230.1011227748. The cubic root of 38814160 is about 338.5816345375.

The spelling of 38814160 in words is "thirty-eight million, eight hundred fourteen thousand, one hundred sixty".