3372138197120 has 1152 divisors, whose sum is σ = 10778653670400. Its totient is φ = 1003987353600.

The previous prime is 3372138197119. The next prime is 3372138197149. The reversal of 3372138197120 is 217918312733.

It is a super-2 number, since 2×3372138197120² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12821818109 + ... + 12821818371.

It is an arithmetic number, because the mean of its divisors is an integer number (9356470200).

Almost surely, 2^{3372138197120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3372138197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389326835200).

3372138197120 is an abundant number, since it is smaller than the sum of its proper divisors (7406515473280).

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

3372138197120 is a wasteful number, since it uses less digits than its factorization.

3372138197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The spelling of 3372138197120 in words is "three trillion, three hundred seventy-two billion, one hundred thirty-eight million, one hundred ninety-seven thousand, one hundred twenty".