3423468125520 has 320 divisors, whose sum is σ = 12310972047360. Its totient is φ = 872783036928.

The previous prime is 3423468125479. The next prime is 3423468125521. The reversal of 3423468125520 is 255218643243.

3423468125520 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 46 + 81 + 2 + 5 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423468125521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102473139 + ... + 102506541.

It is an arithmetic number, because the mean of its divisors is an integer number (38471787648).

Almost surely, 2^{3423468125520} is an apocalyptic number.

3423468125520 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 3423468125520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6155486023680).

3423468125520 is an abundant number, since it is smaller than the sum of its proper divisors (8887503921840).

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

3423468125520 is a wasteful number, since it uses less digits than its factorization.

3423468125520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35511 (or 35499 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3423468125520 in words is "three trillion, four hundred twenty-three billion, four hundred sixty-eight million, one hundred twenty-five thousand, five hundred twenty".