3331120700160 has 1728 divisors, whose sum is σ = 13984303656960. Its totient is φ = 722534400000.

The previous prime is 3331120700123. The next prime is 3331120700161. The reversal of 3331120700160 is 610070211333.

It is a super-2 number, since 2×3331120700160² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3331120700161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4435579785 + ... + 4435580535.

It is an arithmetic number, because the mean of its divisors is an integer number (8092768320).

Almost surely, 2^{3331120700160} is an apocalyptic number.

3331120700160 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 3331120700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992151828480).

3331120700160 is an abundant number, since it is smaller than the sum of its proper divisors (10653182956800).

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

3331120700160 is a wasteful number, since it uses less digits than its factorization.

3331120700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 3331120700160 its reverse (610070211333), we get a palindrome (3941190911493).

The spelling of 3331120700160 in words is "three trillion, three hundred thirty-one billion, one hundred twenty million, seven hundred thousand, one hundred sixty".