38162880 has 224 divisors, whose sum is σ = 154106880. Its totient is φ = 8709120.

The previous prime is 38162843. The next prime is 38162897. The reversal of 38162880 is 8826183.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60165 + ... + 60795.

Almost surely, 2^38162880 is an apocalyptic number.

38162880 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 38162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77053440).

38162880 is an abundant number, since it is smaller than the sum of its proper divisors (115944000).

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

38162880 is a wasteful number, since it uses less digits than its factorization.

38162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 38162880 is about 6177.6111888011. The cubic root of 38162880 is about 336.6772056085.

The spelling of 38162880 in words is "thirty-eight million, one hundred sixty-two thousand, eight hundred eighty".