349348320 has 72 divisors (see below), whose sum is σ = 1192156056. Its totient is φ = 93159168.

The previous prime is 349348319. The next prime is 349348327. The reversal of 349348320 is 23843943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 (349348327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119862 + ... + 122741.

It is an arithmetic number, because the mean of its divisors is an integer number (16557723).

Almost surely, 2^349348320 is an apocalyptic number.

349348320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349348320 is an abundant number, since it is smaller than the sum of its proper divisors (842807736).

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

349348320 is a wasteful number, since it uses less digits than its factorization.

349348320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242624 (or 242613 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 349348320 is about 18690.8619383912. The cubic root of 349348320 is about 704.2922125431.

The spelling of 349348320 in words is "three hundred forty-nine million, three hundred forty-eight thousand, three hundred twenty".