39131424 has 120 divisors (see below), whose sum is σ = 119040768. Its totient is φ = 12597120.

The previous prime is 39131413. The next prime is 39131453. The reversal of 39131424 is 42413193.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 80109 + ... + 80595.

Almost surely, 2^39131424 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 39131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59520384).

39131424 is an abundant number, since it is smaller than the sum of its proper divisors (79909344).

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

39131424 is a wasteful number, since it uses less digits than its factorization.

39131424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 523 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 39131424 is about 6255.5114898783. The cubic root of 39131424 is about 339.5016459049.

The spelling of 39131424 in words is "thirty-nine million, one hundred thirty-one thousand, four hundred twenty-four".