38188080 has 120 divisors (see below), whose sum is σ = 146588832. Its totient is φ = 8727552.

The previous prime is 38188067. The next prime is 38188123. The reversal of 38188080 is 8088183.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252 + ... + 8828.

Almost surely, 2^38188080 is an apocalyptic number.

38188080 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 38188080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73294416).

38188080 is an abundant number, since it is smaller than the sum of its proper divisors (108400752).

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

38188080 is a wasteful number, since it uses less digits than its factorization.

38188080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7603 (or 7594 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 38188080 is about 6179.6504755528. The cubic root of 38188080 is about 336.7512950448.

The spelling of 38188080 in words is "thirty-eight million, one hundred eighty-eight thousand, eighty".