39129920 has 56 divisors (see below), whose sum is σ = 98672904. Its totient is φ = 14729216.

The previous prime is 39129919. The next prime is 39129931. The reversal of 39129920 is 2992193.

It can be written as a sum of positive squares in 4 ways, for example, as 1577536 + 37552384 = 1256^2 + 6128^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1844 + ... + 9036.

Almost surely, 2^39129920 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 39129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49336452).

39129920 is an abundant number, since it is smaller than the sum of its proper divisors (59542984).

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

39129920 is a wasteful number, since it uses less digits than its factorization.

39129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7227 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 35.

The square root of 39129920 is about 6255.3912747325. The cubic root of 39129920 is about 339.4972963144.

The spelling of 39129920 in words is "thirty-nine million, one hundred twenty-nine thousand, nine hundred twenty".