3332643356160 has 480 divisors, whose sum is σ = 12266301370752. Its totient is φ = 833315143680.

The previous prime is 3332643356123. The next prime is 3332643356191. The reversal of 3332643356160 is 616533462333.

3332643356160 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 6 + 433 + 56 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3332643356160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106129582 + ... + 106160978.

Almost surely, 2^{3332643356160} is an apocalyptic number.

3332643356160 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 3332643356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133150685376).

3332643356160 is an abundant number, since it is smaller than the sum of its proper divisors (8933658014592).

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

3332643356160 is a wasteful number, since it uses less digits than its factorization.

3332643356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31714 (or 31695 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 45.

The spelling of 3332643356160 in words is "three trillion, three hundred thirty-two billion, six hundred forty-three million, three hundred fifty-six thousand, one hundred sixty".