38188920 has 128 divisors (see below), whose sum is σ = 142871040. Its totient is φ = 7933440.

The previous prime is 38188907. The next prime is 38188939. The reversal of 38188920 is 2988183.

It is a super-2 number, since 2×38188920² = 2916787221532800, which contains 22 as substring.

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, 7174 + ... + 11306.

It is an arithmetic number, because the mean of its divisors is an integer number (1116180).

Almost surely, 2^38188920 is an apocalyptic number.

38188920 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 38188920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71435520).

38188920 is an abundant number, since it is smaller than the sum of its proper divisors (104682120).

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

38188920 is a wasteful number, since it uses less digits than its factorization.

38188920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4161 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 38188920 is about 6179.7184401880. The cubic root of 38188920 is about 336.7537641313.

The spelling of 38188920 in words is "thirty-eight million, one hundred eighty-eight thousand, nine hundred twenty".