3363177664 has 56 divisors (see below), whose sum is σ = 8320601088. Its totient is φ = 1310327040.

The previous prime is 3363177661. The next prime is 3363177703. The reversal of 3363177664 is 4667713633.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3363177664² = 22621927999256993792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3363177661) by changing a digit.

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, 336304 + ... + 346159.

Almost surely, 2^3363177664 is an apocalyptic number.

It is an amenable number.

3363177664 is an abundant number, since it is smaller than the sum of its proper divisors (4957423424).

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

3363177664 is a wasteful number, since it uses less digits than its factorization.

3363177664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682493 (or 682483 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 46.

The square root of 3363177664 is about 57992.9104632627. The cubic root of 3363177664 is about 1498.2464937575.

The spelling of 3363177664 in words is "three billion, three hundred sixty-three million, one hundred seventy-seven thousand, six hundred sixty-four".