3446191257664 has 21 divisors (see below), whose sum is σ = 6838565247277. Its totient is φ = 1723088203264.

The previous prime is 3446191257629. The next prime is 3446191257689. The reversal of 3446191257664 is 4667521916443.

It is a happy number.

The square root of 3446191257664 is 1856392.

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., 2338477107264 + 1107714150400 = 1529208^2 + 1052480^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3446191257599 and 3446191257608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14735112 + ... + 14967160.

Almost surely, 2^{3446191257664} is an apocalyptic number.

3446191257664 is the 1856392-nd square number.

It is an amenable number.

3446191257664 is a deficient number, since it is larger than the sum of its proper divisors (3392373989613).

3446191257664 is an frugal number, since it uses more digits than its factorization.

3446191257664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464110 (or 232051 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 58.

The spelling of 3446191257664 in words is "three trillion, four hundred forty-six billion, one hundred ninety-one million, two hundred fifty-seven thousand, six hundred sixty-four".