38125920 has 144 divisors (see below), whose sum is σ = 139790448. Its totient is φ = 8709120.

The previous prime is 38125903. The next prime is 38125943. The reversal of 38125920 is 2952183.

It is a happy number.

It is a super-3 number, since 3×38125920³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 22710 + ... + 24330.

It is an arithmetic number, because the mean of its divisors is an integer number (970767).

Almost surely, 2^38125920 is an apocalyptic number.

38125920 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 38125920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69895224).

38125920 is an abundant number, since it is smaller than the sum of its proper divisors (101664528).

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

38125920 is a wasteful number, since it uses less digits than its factorization.

38125920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 38125920 is about 6174.6190165872. The cubic root of 38125920 is about 336.5684820809.

The spelling of 38125920 in words is "thirty-eight million, one hundred twenty-five thousand, nine hundred twenty".