38788080 has 80 divisors (see below), whose sum is σ = 124411680. Its totient is φ = 9985024.

The previous prime is 38788031. The next prime is 38788111. The reversal of 38788080 is 8088783.

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

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, 4174 + ... + 9746.

It is an arithmetic number, because the mean of its divisors is an integer number (1555146).

Almost surely, 2^38788080 is an apocalyptic number.

38788080 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 38788080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62205840).

38788080 is an abundant number, since it is smaller than the sum of its proper divisors (85623600).

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

38788080 is a wasteful number, since it uses less digits than its factorization.

38788080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5618 (or 5612 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The square root of 38788080 is about 6228.0077071243. The cubic root of 38788080 is about 338.5057843195.

The spelling of 38788080 in words is "thirty-eight million, seven hundred eighty-eight thousand, eighty".