349291638081 has 9 divisors (see below), whose sum is σ = 504534927169. Its totient is φ = 232859910036.

The previous prime is 349291638079. The next prime is 349291638097. The reversal of 349291638081 is 180836192943.

The square root of 349291638081 is 591009.

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

349291638081 is a `hidden beast` number, since 3 + 492 + 91 + 63 + 8 + 0 + 8 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 349291638081 - 2¹ = 349291638079 is a prime.

It is a super-2 number, since 2×349291638081² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (349291638001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1674526 + ... + 1871528.

Almost surely, 2^349291638081 is an apocalyptic number.

349291638081 is the 591009-th square number.

349291638081 is the 295505-th centered octagonal number.

It is an amenable number.

349291638081 is a deficient number, since it is larger than the sum of its proper divisors (155243289088).

349291638081 is an frugal number, since it uses more digits than its factorization.

349291638081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394012 (or 197006 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 349291638081 in words is "three hundred forty-nine billion, two hundred ninety-one million, six hundred thirty-eight thousand, eighty-one".