3434393131264 has 36 divisors (see below), whose sum is σ = 6856037864284. Its totient is φ = 1717029439488.

The previous prime is 3434393131249. The next prime is 3434393131271. The reversal of 3434393131264 is 4621313934343.

It can be written as a sum of positive squares in 2 ways, for example, as 738912160000 + 2695480971264 = 859600^2 + 1641792^2 .

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2003734 + ... + 3299050.

Almost surely, 2^{3434393131264} is an apocalyptic number.

It is an amenable number.

3434393131264 is a deficient number, since it is larger than the sum of its proper divisors (3421644733020).

3434393131264 is a wasteful number, since it uses less digits than its factorization.

3434393131264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305690 (or 1305676 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 46.

The spelling of 3434393131264 in words is "three trillion, four hundred thirty-four billion, three hundred ninety-three million, one hundred thirty-one thousand, two hundred sixty-four".