38181920 has 96 divisors (see below), whose sum is σ = 104727168. Its totient is φ = 12883968.

The previous prime is 38181919. The next prime is 38181959. The reversal of 38181920 is 2918183.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 81527 + ... + 81993.

It is an arithmetic number, because the mean of its divisors is an integer number (1090908).

Almost surely, 2^38181920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52363584).

38181920 is an abundant number, since it is smaller than the sum of its proper divisors (66545248).

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

38181920 is a wasteful number, since it uses less digits than its factorization.

38181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 38181920 is about 6179.1520453862. The cubic root of 38181920 is about 336.7331873043.

The spelling of 38181920 in words is "thirty-eight million, one hundred eighty-one thousand, nine hundred twenty".