3378414179520 has 336 divisors, whose sum is σ = 11939177970720. Its totient is φ = 876506185728.

The previous prime is 3378414179519. The next prime is 3378414179599. The reversal of 3378414179520 is 259714148733.

3378414179520 is a `hidden beast` number, since 3 + 3 + 7 + 8 + 4 + 1 + 41 + 79 + 520 = 666.

It is a super-2 number, since 2×3378414179520² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16379754 + ... + 16584726.

It is an arithmetic number, because the mean of its divisors is an integer number (35533267770).

Almost surely, 2^{3378414179520} is an apocalyptic number.

3378414179520 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 3378414179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969588985360).

3378414179520 is an abundant number, since it is smaller than the sum of its proper divisors (8560763791200).

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

3378414179520 is a wasteful number, since it uses less digits than its factorization.

3378414179520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205152 (or 205139 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 3378414179520 in words is "three trillion, three hundred seventy-eight billion, four hundred fourteen million, one hundred seventy-nine thousand, five hundred twenty".