3326046624 has 240 divisors, whose sum is σ = 10196524800. Its totient is φ = 1062637056.

The previous prime is 3326046623. The next prime is 3326046631. The reversal of 3326046624 is 4266406233.

3326046624 is a `hidden beast` number, since 3 + 3 + 26 + 0 + 4 + 6 + 624 = 666.

3326046624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3326046624² = 22125172290043594752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3326046623) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7576197 + ... + 7576635.

It is an arithmetic number, because the mean of its divisors is an integer number (42485520).

Almost surely, 2^3326046624 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 3326046624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098262400).

3326046624 is an abundant number, since it is smaller than the sum of its proper divisors (6870478176).

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

3326046624 is a wasteful number, since it uses less digits than its factorization.

3326046624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3326046624 is about 57671.8876403400. The cubic root of 3326046624 is about 1492.7122982771.

The spelling of 3326046624 in words is "three billion, three hundred twenty-six million, forty-six thousand, six hundred twenty-four".