349323553296 has 45 divisors (see below), whose sum is σ = 977640626989. Its totient is φ = 116438820288.

The previous prime is 349323553279. The next prime is 349323553297. The reversal of 349323553296 is 692355323943.

The square root of 349323553296 is 591036.

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

349323553296 is a `hidden beast` number, since 3 + 49 + 3 + 23 + 553 + 29 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41591523600 + 307732029696 = 203940^2 + 554736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349323553297) 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, 7067806 + ... + 7117058.

Almost surely, 2^349323553296 is an apocalyptic number.

349323553296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

349323553296 is the 591036-th square number.

It is an amenable number.

349323553296 is an abundant number, since it is smaller than the sum of its proper divisors (628317073693).

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

349323553296 is an frugal number, since it uses more digits than its factorization.

349323553296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98520 (or 49258 counting only the distinct ones).

The product of its digits is 15746400, while the sum is 54.

The spelling of 349323553296 in words is "three hundred forty-nine billion, three hundred twenty-three million, five hundred fifty-three thousand, two hundred ninety-six".