3307457664 has 192 divisors, whose sum is σ = 11355904800. Its totient is φ = 944939520.

The previous prime is 3307457641. The next prime is 3307457669. The reversal of 3307457664 is 4667547033.

3307457664 is a `hidden beast` number, since 3 + 3 + 0 + 74 + 576 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3307457669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159579 + ... + 179109.

Almost surely, 2^3307457664 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 3307457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677952400).

3307457664 is an abundant number, since it is smaller than the sum of its proper divisors (8048447136).

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

3307457664 is a wasteful number, since it uses less digits than its factorization.

3307457664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19568 (or 19543 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The square root of 3307457664 is about 57510.5004673060. The cubic root of 3307457664 is about 1489.9262254961.

The spelling of 3307457664 in words is "three billion, three hundred seven million, four hundred fifty-seven thousand, six hundred sixty-four".