349252632576 has 495 divisors, whose sum is σ = 1105765438071. Its totient is φ = 110290305024.

The previous prime is 349252632563. The next prime is 349252632581. The reversal of 349252632576 is 675236252943.

The square root of 349252632576 is 590976.

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

349252632576 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 5 + 2 + 63 + 2 + 576 = 666.

It is a super-2 number, since 2×349252632576² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (16329600) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 18381717495 + ... + 18381717513.

Almost surely, 2^349252632576 is an apocalyptic number.

349252632576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

349252632576 is the 590976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349252632576

349252632576 is an abundant number, since it is smaller than the sum of its proper divisors (756512805495).

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

349252632576 is an frugal number, since it uses more digits than its factorization.

349252632576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 24 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 54.

The spelling of 349252632576 in words is "three hundred forty-nine billion, two hundred fifty-two million, six hundred thirty-two thousand, five hundred seventy-six".