3482239637776 has 135 divisors (see below), whose sum is σ = 7088781672399. Its totient is φ = 1657075488000.

The previous prime is 3482239637693. The next prime is 3482239637797. The reversal of 3482239637776 is 6777369322843.

The square root of 3482239637776 is 1866076.

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 77771823376 + 3404467814400 = 278876^2 + 1845120^2 .

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, 23370735750 + ... + 23370735898.

Almost surely, 2^{3482239637776} is an apocalyptic number.

3482239637776 is the 1866076-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3482239637776

3482239637776 is an abundant number, since it is smaller than the sum of its proper divisors (3606542034623).

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

3482239637776 is an equidigital number, since it uses as much as digits as its factorization.

3482239637776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 283 counting only the distinct ones).

The product of its digits is 384072192, while the sum is 67.

The spelling of 3482239637776 in words is "three trillion, four hundred eighty-two billion, two hundred thirty-nine million, six hundred thirty-seven thousand, seven hundred seventy-six".