3313925664 has 144 divisors (see below), whose sum is σ = 10148912928. Its totient is φ = 944068608.

The previous prime is 3313925627. The next prime is 3313925701. The reversal of 3313925664 is 4665293133.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3313925627) and next prime (3313925701).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036019 + ... + 2037645.

It is an arithmetic number, because the mean of its divisors is an integer number (70478562).

Almost surely, 2^3313925664 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 3313925664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074456464).

3313925664 is an abundant number, since it is smaller than the sum of its proper divisors (6834987264).

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

3313925664 is a wasteful number, since it uses less digits than its factorization.

3313925664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2072 counting only the distinct ones).

The product of its digits is 349920, while the sum is 42.

The square root of 3313925664 is about 57566.7062111426. The cubic root of 3313925664 is about 1490.8968166819.

The spelling of 3313925664 in words is "three billion, three hundred thirteen million, nine hundred twenty-five thousand, six hundred sixty-four".