38377920 has 112 divisors (see below), whose sum is σ = 139281408. Its totient is φ = 8770560.

The previous prime is 38377909. The next prime is 38377921. The reversal of 38377920 is 2977383.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38377921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3865 + ... + 9575.

It is an arithmetic number, because the mean of its divisors is an integer number (1243584).

Almost surely, 2^38377920 is an apocalyptic number.

38377920 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 38377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69640704).

38377920 is an abundant number, since it is smaller than the sum of its proper divisors (100903488).

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

38377920 is a wasteful number, since it uses less digits than its factorization.

38377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5728 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 38377920 is about 6194.9915254179. The cubic root of 38377920 is about 337.3083905520.

The spelling of 38377920 in words is "thirty-eight million, three hundred seventy-seven thousand, nine hundred twenty".