38379520 has 56 divisors (see below), whose sum is σ = 92203524. Its totient is φ = 15335424.

The previous prime is 38379511. The next prime is 38379529. The reversal of 38379520 is 2597383.

It is an interprime number because it is at equal distance from previous prime (38379511) and next prime (38379529).

It can be written as a sum of positive squares in 2 ways, for example, as 33918976 + 4460544 = 5824^2 + 2112^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 38379520.

It is not an unprimeable number, because it can be changed into a prime (38379529) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40492 + ... + 41428.

Almost surely, 2^38379520 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 38379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46101762).

38379520 is an abundant number, since it is smaller than the sum of its proper divisors (53824004).

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

38379520 is an frugal number, since it uses more digits than its factorization.

38379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 38379520 is about 6195.1206606490. The cubic root of 38379520 is about 337.3130780209.

The spelling of 38379520 in words is "thirty-eight million, three hundred seventy-nine thousand, five hundred twenty".