349056672 has 48 divisors (see below), whose sum is σ = 919723392. Its totient is φ = 115914240.

The previous prime is 349056613. The next prime is 349056689. The reversal of 349056672 is 276650943.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19308 + ... + 32724.

It is an arithmetic number, because the mean of its divisors is an integer number (19160904).

Almost surely, 2^349056672 is an apocalyptic number.

349056672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349056672 is an abundant number, since it is smaller than the sum of its proper divisors (570666720).

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

349056672 is a wasteful number, since it uses less digits than its factorization.

349056672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701 (or 13693 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 349056672 is about 18683.0584220036. The cubic root of 349056672 is about 704.0961688528.

The spelling of 349056672 in words is "three hundred forty-nine million, fifty-six thousand, six hundred seventy-two".