3331200433680 has 480 divisors, whose sum is σ = 13512281230080. Its totient is φ = 761415282432.

The previous prime is 3331200433667. The next prime is 3331200433709. The reversal of 3331200433680 is 863340021333.

3331200433680 is a `hidden beast` number, since 3 + 3 + 312 + 0 + 0 + 4 + 336 + 8 + 0 = 666.

It is a super-2 number, since 2×3331200433680² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8378757 + ... + 8767323.

It is an arithmetic number, because the mean of its divisors is an integer number (28150585896).

Almost surely, 2^{3331200433680} is an apocalyptic number.

3331200433680 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 3331200433680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756140615040).

3331200433680 is an abundant number, since it is smaller than the sum of its proper divisors (10181080796400).

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

3331200433680 is an equidigital number, since it uses as much as digits as its factorization.

3331200433680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388615 (or 388584 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 3331200433680 in words is "three trillion, three hundred thirty-one billion, two hundred million, four hundred thirty-three thousand, six hundred eighty".