39920352 has 96 divisors (see below), whose sum is σ = 113055264. Its totient is φ = 12288000.

The previous prime is 39920329. The next prime is 39920381. The reversal of 39920352 is 25302993.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 99352 + ... + 99752.

It is an arithmetic number, because the mean of its divisors is an integer number (1177659).

Almost surely, 2^39920352 is an apocalyptic number.

39920352 is a gapful number since it is divisible by the number (32) 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 39920352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56527632).

39920352 is an abundant number, since it is smaller than the sum of its proper divisors (73134912).

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

39920352 is a wasteful number, since it uses less digits than its factorization.

39920352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 39920352 is about 6318.2554554244. The cubic root of 39920352 is about 341.7680448982.

The spelling of 39920352 in words is "thirty-nine million, nine hundred twenty thousand, three hundred fifty-two".