3472534260000 has 960 divisors, whose sum is σ = 13715119756800. Its totient is φ = 854485632000.

The previous prime is 3472534259977. The next prime is 3472534260017. The reversal of 3472534260000 is 624352743.

3472534260000 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 5 + 3 + 42 + 600 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1186378537 + ... + 1186381463.

It is an arithmetic number, because the mean of its divisors is an integer number (14286583080).

Almost surely, 2^{3472534260000} is an apocalyptic number.

3472534260000 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 3472534260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857559878400).

3472534260000 is an abundant number, since it is smaller than the sum of its proper divisors (10242585496800).

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

3472534260000 is an equidigital number, since it uses as much as digits as its factorization.

3472534260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3005 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 3472534260000 in words is "three trillion, four hundred seventy-two billion, five hundred thirty-four million, two hundred sixty thousand".