3307825664 has 80 divisors (see below), whose sum is σ = 7764815520. Its totient is φ = 1387868160.

The previous prime is 3307825657. The next prime is 3307825687. The reversal of 3307825664 is 4665287033.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50627 + ... + 95805.

It is an arithmetic number, because the mean of its divisors is an integer number (97060194).

Almost surely, 2^3307825664 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 3307825664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882407760).

3307825664 is an abundant number, since it is smaller than the sum of its proper divisors (4456989856).

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

3307825664 is a wasteful number, since it uses less digits than its factorization.

3307825664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45221 (or 45205 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The square root of 3307825664 is about 57513.6997940491. The cubic root of 3307825664 is about 1489.9814816851.

The spelling of 3307825664 in words is "three billion, three hundred seven million, eight hundred twenty-five thousand, six hundred sixty-four".