3339648000 has 528 divisors, whose sum is σ = 13018526976. Its totient is φ = 818380800.

The previous prime is 3339647999. The next prime is 3339648043. The reversal of 3339648000 is 8469333.

3339648000 is a `hidden beast` number, since 3 + 3 + 3 + 9 + 648 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3339648000² = 22306497527808000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14975889 + ... + 14976111.

Almost surely, 2^3339648000 is an apocalyptic number.

3339648000 is a gapful number since it is divisible by the number (30) 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 3339648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509263488).

3339648000 is an abundant number, since it is smaller than the sum of its proper divisors (9678878976).

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

3339648000 is a wasteful number, since it uses less digits than its factorization.

3339648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3339648000 is about 57789.6876613812. The cubic root of 3339648000 is about 1494.7442730640.

The spelling of 3339648000 in words is "three billion, three hundred thirty-nine million, six hundred forty-eight thousand".