349395072 has 64 divisors (see below), whose sum is σ = 999485760. Its totient is φ = 107504640.

The previous prime is 349395049. The next prime is 349395089. The reversal of 349395072 is 270593943.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 30004 + ... + 39987.

It is an arithmetic number, because the mean of its divisors is an integer number (15616965).

Almost surely, 2^349395072 is an apocalyptic number.

349395072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349395072 is an abundant number, since it is smaller than the sum of its proper divisors (650090688).

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

349395072 is a wasteful number, since it uses less digits than its factorization.

349395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70021 (or 70009 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 349395072 is about 18692.1125611847. The cubic root of 349395072 is about 704.3236287533.

Subtracting from 349395072 its reverse (270593943), we obtain a square (78801129 = 8877²).

The spelling of 349395072 in words is "three hundred forty-nine million, three hundred ninety-five thousand, seventy-two".