3341329215120 has 960 divisors, whose sum is σ = 13152532184064. Its totient is φ = 752706846720.

The previous prime is 3341329215109. The next prime is 3341329215149. The reversal of 3341329215120 is 215129231433.

3341329215120 is a `hidden beast` number, since 3 + 3 + 4 + 132 + 9 + 2 + 1 + 512 + 0 = 666.

It is a super-2 number, since 2×3341329215120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1219016950 + ... + 1219019690.

Almost surely, 2^{3341329215120} is an apocalyptic number.

3341329215120 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 3341329215120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576266092032).

3341329215120 is an abundant number, since it is smaller than the sum of its proper divisors (9811202968944).

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

3341329215120 is a wasteful number, since it uses less digits than its factorization.

3341329215120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 3341329215120 in words is "three trillion, three hundred forty-one billion, three hundred twenty-nine million, two hundred fifteen thousand, one hundred twenty".