349297875927 has 192 divisors, whose sum is σ = 736093962240. Its totient is φ = 153558892800.

The previous prime is 349297875923. The next prime is 349297875929. The reversal of 349297875927 is 729578792943.

349297875927 is a `hidden beast` number, since 3 + 4 + 9 + 29 + 7 + 8 + 7 + 592 + 7 = 666.

It is not a de Polignac number, because 349297875927 - 2² = 349297875923 is a prime.

It is a super-2 number, since 2×349297875927² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349297875923) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5273388 + ... + 5339214.

It is an arithmetic number, because the mean of its divisors is an integer number (3833822720).

Almost surely, 2^349297875927 is an apocalyptic number.

349297875927 is an abundant number, since it is smaller than the sum of its proper divisors (386796086313).

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

349297875927 is a wasteful number, since it uses less digits than its factorization.

349297875927 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65914 (or 65911 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 72.

The spelling of 349297875927 in words is "three hundred forty-nine billion, two hundred ninety-seven million, eight hundred seventy-five thousand, nine hundred twenty-seven".