3415384984320 has 216 divisors, whose sum is σ = 12254539476816. Its totient is φ = 910769246208.

The previous prime is 3415384984289. The next prime is 3415384984331. The reversal of 3415384984320 is 234894835143.

3415384984320 is a `hidden beast` number, since 3 + 4 + 1 + 538 + 4 + 9 + 84 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×3415384984320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5179227 + ... + 5801306.

Almost surely, 2^{3415384984320} is an apocalyptic number.

3415384984320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3415384984320 is an abundant number, since it is smaller than the sum of its proper divisors (8839154492496).

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

3415384984320 is an equidigital number, since it uses as much as digits as its factorization.

3415384984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10980569 (or 10980543 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3415384984320 in words is "three trillion, four hundred fifteen billion, three hundred eighty-four million, nine hundred eighty-four thousand, three hundred twenty".