3364004633 has 24 divisors (see below), whose sum is σ = 3846491040. Its totient is φ = 2917474560.

The previous prime is 3364004629. The next prime is 3364004653.

3364004633 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3364004633 - 2² = 3364004629 is a prime.

It is a super-2 number, since 2×3364004633² = 22633054341690929378, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3364004633.

It is not an unprimeable number, because it can be changed into a prime (3364004653) 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, 3915758 + ... + 3916616.

It is an arithmetic number, because the mean of its divisors is an integer number (160270460).

Almost surely, 2^3364004633 is an apocalyptic number.

It is an amenable number.

3364004633 is a deficient number, since it is larger than the sum of its proper divisors (482486407).

3364004633 is a wasteful number, since it uses less digits than its factorization.

3364004633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

The square root of 3364004633 is about 58000.0399396414. The cubic root of 3364004633 is about 1498.3692845613.

The spelling of 3364004633 in words is "three billion, three hundred sixty-four million, four thousand, six hundred thirty-three".