3474384160900 has 27 divisors (see below), whose sum is σ = 7539454077519. Its totient is φ = 1389746208480.

The previous prime is 3474384160879. The next prime is 3474384161021. The reversal of 3474384160900 is 90614834743.

The square root of 3474384160900 is 1863970.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 725791540356 + 2748592620544 = 851934^2 + 1657888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18546502 + ... + 18732898.

Almost surely, 2^{3474384160900} is an apocalyptic number.

3474384160900 is the 1863970-th square number.

It is an amenable number.

3474384160900 is an abundant number, since it is smaller than the sum of its proper divisors (4065069916619).

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

3474384160900 is an frugal number, since it uses more digits than its factorization.

3474384160900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372808 (or 186404 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

Multiplying 3474384160900 by its sum of digits (49), we get a square (170244823884100 = 13047790²).

The spelling of 3474384160900 in words is "three trillion, four hundred seventy-four billion, three hundred eighty-four million, one hundred sixty thousand, nine hundred".