3332132356800 has 336 divisors, whose sum is σ = 12392748757760. Its totient is φ = 777047592960.

The previous prime is 3332132356753. The next prime is 3332132356829. The reversal of 3332132356800 is 86532312333.

It is a super-2 number, since 2×3332132356800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 219652 + ... + 2590851.

Almost surely, 2^{3332132356800} is an apocalyptic number.

3332132356800 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 3332132356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6196374378880).

3332132356800 is an abundant number, since it is smaller than the sum of its proper divisors (9060616400960).

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

3332132356800 is a wasteful number, since it uses less digits than its factorization.

3332132356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810560 (or 2810545 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 3332132356800 in words is "three trillion, three hundred thirty-two billion, one hundred thirty-two million, three hundred fifty-six thousand, eight hundred".