3328119792000 has 1024 divisors, whose sum is σ = 12446493696000. Its totient is φ = 874030694400.

The previous prime is 3328119791999. The next prime is 3328119792043. The reversal of 3328119792000 is 2979118233.

3328119792000 is a `hidden beast` number, since 3 + 328 + 119 + 7 + 9 + 200 + 0 = 666.

It is a super-2 number, since 2×3328119792000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14924303889 + ... + 14924304111.

It is an arithmetic number, because the mean of its divisors is an integer number (12154779000).

Almost surely, 2^{3328119792000} is an apocalyptic number.

3328119792000 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 3328119792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223246848000).

3328119792000 is an abundant number, since it is smaller than the sum of its proper divisors (9118373904000).

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

3328119792000 is a wasteful number, since it uses less digits than its factorization.

3328119792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 3328119792000 in words is "three trillion, three hundred twenty-eight billion, one hundred nineteen million, seven hundred ninety-two thousand".