3904733952 has 504 divisors, whose sum is σ = 13851370400. Its totient is φ = 1097349120.

The previous prime is 3904733939. The next prime is 3904733953. The reversal of 3904733952 is 2593374093.

3904733952 is a `hidden beast` number, since 3 + 90 + 473 + 3 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 3904733898 and 3904733907.

It is not an unprimeable number, because it can be changed into a prime (3904733953) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 64012002 + ... + 64012062.

Almost surely, 2^3904733952 is an apocalyptic number.

3904733952 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 3904733952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925685200).

3904733952 is an abundant number, since it is smaller than the sum of its proper divisors (9946636448).

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

3904733952 is an frugal number, since it uses more digits than its factorization.

3904733952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 3904733952 is about 62487.8704389900. The cubic root of 3904733952 is about 1574.6975419206.

The spelling of 3904733952 in words is "three billion, nine hundred four million, seven hundred thirty-three thousand, nine hundred fifty-two".