3370915504128 has 224 divisors, whose sum is σ = 9085443506496. Its totient is φ = 1111567106048.

The previous prime is 3370915504123. The next prime is 3370915504163. The reversal of 3370915504128 is 8214055190733.

It is a super-2 number, since 2×3370915504128² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3370915504123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2213338375 + ... + 2213339897.

It is an arithmetic number, because the mean of its divisors is an integer number (40560015654).

Almost surely, 2^{3370915504128} 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 3370915504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4542721753248).

3370915504128 is an abundant number, since it is smaller than the sum of its proper divisors (5714528002368).

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

3370915504128 is a wasteful number, since it uses less digits than its factorization.

3370915504128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 3370915504128 in words is "three trillion, three hundred seventy billion, nine hundred fifteen million, five hundred four thousand, one hundred twenty-eight".