3445693762564 has 27 divisors (see below), whose sum is σ = 6134289065191. Its totient is φ = 1693538423720.

The previous prime is 3445693762561. The next prime is 3445693762649. The reversal of 3445693762564 is 4652673965443.

The square root of 3445693762564 is 1856258.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3445693762496 and 3445693762505.

It is not an unprimeable number, because it can be changed into a prime (3445693762561) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 219030579 + ... + 219046309.

Almost surely, 2^{3445693762564} is an apocalyptic number.

3445693762564 is the 1856258-th square number.

It is an amenable number.

3445693762564 is a deficient number, since it is larger than the sum of its proper divisors (2688595302627).

3445693762564 is an frugal number, since it uses more digits than its factorization.

3445693762564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31584 (or 15792 counting only the distinct ones).

The product of its digits is 391910400, while the sum is 64.

Multiplying 3445693762564 by its sum of digits (64), we get a square (220524400804096 = 14850064²).

The spelling of 3445693762564 in words is "three trillion, four hundred forty-five billion, six hundred ninety-three million, seven hundred sixty-two thousand, five hundred sixty-four".