3383057664 has 432 divisors, whose sum is σ = 12267335808. Its totient is φ = 907739136.

The previous prime is 3383057653. The next prime is 3383057701. The reversal of 3383057664 is 4667503833.

3383057664 is a `hidden beast` number, since 338 + 305 + 7 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3383057664² = 22890158315898273792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7402524 + ... + 7402980.

Almost surely, 2^3383057664 is an apocalyptic number.

3383057664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3383057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133667904).

3383057664 is an abundant number, since it is smaller than the sum of its proper divisors (8884278144).

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

3383057664 is an equidigital number, since it uses as much as digits as its factorization.

3383057664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3383057664 is about 58164.0581802886. The cubic root of 3383057664 is about 1501.1927792670.

The spelling of 3383057664 in words is "three billion, three hundred eighty-three million, fifty-seven thousand, six hundred sixty-four".