3997312451584 has 99 divisors (see below), whose sum is σ = 8186507857773. Its totient is φ = 1950832300032.

The previous prime is 3997312451557. The next prime is 3997312451599. The reversal of 3997312451584 is 4851542137993.

The square root of 3997312451584 is 1999328.

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., 3898887193600 + 98425257984 = 1974560^2 + 313728^2 .

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, 2751074602 + ... + 2751076054.

Almost surely, 2^{3997312451584} is an apocalyptic number.

3997312451584 is the 1999328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3997312451584

3997312451584 is an abundant number, since it is smaller than the sum of its proper divisors (4189195406189).

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

3997312451584 is an frugal number, since it uses more digits than its factorization.

3997312451584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012 (or 1498 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 61.

The spelling of 3997312451584 in words is "three trillion, nine hundred ninety-seven billion, three hundred twelve million, four hundred fifty-one thousand, five hundred eighty-four".