39604561920 has 576 divisors, whose sum is σ = 171162875520. Its totient is φ = 8228044800.

The previous prime is 39604561897. The next prime is 39604561939. The reversal of 39604561920 is 2916540693.

39604561920 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 4 + 5 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×39604561920² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7093530 + ... + 7099110.

It is an arithmetic number, because the mean of its divisors is an integer number (297157770).

Almost surely, 2^39604561920 is an apocalyptic number.

39604561920 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 39604561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85581437760).

39604561920 is an abundant number, since it is smaller than the sum of its proper divisors (131558313600).

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

39604561920 is a wasteful number, since it uses less digits than its factorization.

39604561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 39604561920 in words is "thirty-nine billion, six hundred four million, five hundred sixty-one thousand, nine hundred twenty".