3904589664 has 192 divisors, whose sum is σ = 11938752000. Its totient is φ = 1239169536.

The previous prime is 3904589653. The next prime is 3904589669. The reversal of 3904589664 is 4669854093.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3904589664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3904589669) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6935047 + ... + 6935609.

It is an arithmetic number, because the mean of its divisors is an integer number (62181000).

Almost surely, 2^3904589664 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 3904589664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969376000).

3904589664 is an abundant number, since it is smaller than the sum of its proper divisors (8034162336).

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

3904589664 is a wasteful number, since it uses less digits than its factorization.

3904589664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 3904589664 is about 62486.7159002616. The cubic root of 3904589664 is about 1574.6781455707.

The spelling of 3904589664 in words is "three billion, nine hundred four million, five hundred eighty-nine thousand, six hundred sixty-four".