349886676846564 has 945 divisors, whose sum is σ = 1115084755225749. Its totient is φ = 95594343324480.

The previous prime is 349886676846557. The next prime is 349886676846587. The reversal of 349886676846564 is 465648676688943.

The square root of 349886676846564 is 18705258.

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

349886676846564 is a `hidden beast` number, since 3 + 4 + 9 + 8 + 86 + 6 + 7 + 6 + 8 + 465 + 64 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 300189929480100 + 49696747366464 = 17325990^2 + 7049592^2 .

Its product of digits (240789749760) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 8136899461527 + ... + 8136899461569.

Almost surely, 2^{349886676846564} is an apocalyptic number.

349886676846564 is the 18705258-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349886676846564

349886676846564 is an abundant number, since it is smaller than the sum of its proper divisors (765198078379185).

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

349886676846564 is an frugal number, since it uses more digits than its factorization.

349886676846564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 72 counting only the distinct ones).

The product of its digits is 240789749760, while the sum is 90.

The spelling of 349886676846564 in words is "three hundred forty-nine trillion, eight hundred eighty-six billion, six hundred seventy-six million, eight hundred forty-six thousand, five hundred sixty-four".