3005415415232 has 56 divisors (see below), whose sum is σ = 6053924432640. Its totient is φ = 1480024846080.

The previous prime is 3005415415231. The next prime is 3005415415363. The reversal of 3005415415232 is 2325145145003.

It is a super-2 number, since 2×3005415415232² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3005415415192 and 3005415415201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005415415231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26232569 + ... + 26346887.

It is an arithmetic number, because the mean of its divisors is an integer number (108105793440).

Almost surely, 2^{3005415415232} is an apocalyptic number.

3005415415232 is a gapful number since it is divisible by the number (32) 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 3005415415232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026962216320).

3005415415232 is an abundant number, since it is smaller than the sum of its proper divisors (3048509017408).

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

3005415415232 is a wasteful number, since it uses less digits than its factorization.

3005415415232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120529 (or 120519 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 3005415415232 in words is "three trillion, five billion, four hundred fifteen million, four hundred fifteen thousand, two hundred thirty-two".