3604745664 has 252 divisors, whose sum is σ = 11783187000. Its totient is φ = 1050236928.

The previous prime is 3604745659. The next prime is 3604745701. The reversal of 3604745664 is 4665474063.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1848562 + ... + 1850510.

Almost surely, 2^3604745664 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 3604745664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891593500).

3604745664 is an abundant number, since it is smaller than the sum of its proper divisors (8178441336).

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

3604745664 is a wasteful number, since it uses less digits than its factorization.

3604745664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1986 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The square root of 3604745664 is about 60039.5341754081. The cubic root of 3604745664 is about 1533.2920222434.

The spelling of 3604745664 in words is "three billion, six hundred four million, seven hundred forty-five thousand, six hundred sixty-four".