349110864 has 80 divisors (see below), whose sum is σ = 1054843200. Its totient is φ = 110242944.

The previous prime is 349110863. The next prime is 349110887. The reversal of 349110864 is 468011943.

349110864 is a `hidden beast` number, since 3 + 491 + 108 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349110863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13059 + ... + 29474.

It is an arithmetic number, because the mean of its divisors is an integer number (13185540).

Almost surely, 2^349110864 is an apocalyptic number.

It is an amenable number.

349110864 is an abundant number, since it is smaller than the sum of its proper divisors (705732336).

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

349110864 is a wasteful number, since it uses less digits than its factorization.

349110864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42569 (or 42557 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 349110864 is about 18684.5086635962. The cubic root of 349110864 is about 704.1326045839.

The spelling of 349110864 in words is "three hundred forty-nine million, one hundred ten thousand, eight hundred sixty-four".