3382945012128 has 96 divisors (see below), whose sum is σ = 9689360389632. Its totient is φ = 1024940563200.

The previous prime is 3382945011967. The next prime is 3382945012141. The reversal of 3382945012128 is 8212105492833.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3382945012128² (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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5320173 + ... + 5922003.

It is an arithmetic number, because the mean of its divisors is an integer number (100930837392).

Almost surely, 2^{3382945012128} is an apocalyptic number.

It is an amenable number.

3382945012128 is an abundant number, since it is smaller than the sum of its proper divisors (6306415377504).

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

3382945012128 is a wasteful number, since it uses less digits than its factorization.

3382945012128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607178 (or 607170 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 3382945012128 in words is "three trillion, three hundred eighty-two billion, nine hundred forty-five million, twelve thousand, one hundred twenty-eight".