349053517484676 has 81 divisors (see below), whose sum is σ = 916226876887959. Its totient is φ = 116350163614296.

The previous prime is 349053517484653. The next prime is 349053517484677. The reversal of 349053517484676 is 676484715350943.

The square root of 349053517484676 is 18682974.

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

349053517484676 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 5 + 3 + 517 + 48 + 4 + 67 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is not an unprimeable number, because it can be changed into a prime (349053517484677) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3026584125 + ... + 3026699451.

Almost surely, 2^{349053517484676} is an apocalyptic number.

349053517484676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

349053517484676 is the 18682974-th square number.

It is an amenable number.

349053517484676 is an abundant number, since it is smaller than the sum of its proper divisors (567173359403283).

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

349053517484676 is an frugal number, since it uses more digits than its factorization.

349053517484676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230682 (or 115332 counting only the distinct ones).

The product of its (nonzero) digits is 1828915200, while the sum is 72.

The spelling of 349053517484676 in words is "three hundred forty-nine trillion, fifty-three billion, five hundred seventeen million, four hundred eighty-four thousand, six hundred seventy-six".