3481314125584 has 135 divisors (see below), whose sum is σ = 7163302944213. Its totient is φ = 1638943315200.

The previous prime is 3481314125573. The next prime is 3481314125713. The reversal of 3481314125584 is 4855214131843.

The square root of 3481314125584 is 1865828.

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

It can be written as a sum of positive squares in only one way, i.e., 167749223184 + 3313564902400 = 409572^2 + 1820320^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9485869369 + ... + 9485869735.

Almost surely, 2^{3481314125584} is an apocalyptic number.

3481314125584 is the 1865828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3481314125584

3481314125584 is an abundant number, since it is smaller than the sum of its proper divisors (3681988818629).

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

3481314125584 is an frugal number, since it uses more digits than its factorization.

3481314125584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 441 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 49.

Multiplying 3481314125584 by its sum of digits (49), we get a square (170584392153616 = 13060796²).

The spelling of 3481314125584 in words is "three trillion, four hundred eighty-one billion, three hundred fourteen million, one hundred twenty-five thousand, five hundred eighty-four".