39924313920 has 672 divisors, whose sum is σ = 151442928000. Its totient is φ = 9614868480.

The previous prime is 39924313879. The next prime is 39924313963. The reversal of 39924313920 is 2931342993.

39924313920 is a `hidden beast` number, since 399 + 243 + 13 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220576230 + ... + 220576410.

It is an arithmetic number, because the mean of its divisors is an integer number (225361500).

Almost surely, 2^39924313920 is an apocalyptic number.

39924313920 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 39924313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75721464000).

39924313920 is an abundant number, since it is smaller than the sum of its proper divisors (111518614080).

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

39924313920 is a wasteful number, since it uses less digits than its factorization.

39924313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 39924313920 in words is "thirty-nine billion, nine hundred twenty-four million, three hundred thirteen thousand, nine hundred twenty".