349335072 has 48 divisors (see below), whose sum is σ = 1018896480. Its totient is φ = 116444736.

The previous prime is 349335037. The next prime is 349335089. The reversal of 349335072 is 270533943.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201298 + ... + 203025.

It is an arithmetic number, because the mean of its divisors is an integer number (21227010).

Almost surely, 2^349335072 is an apocalyptic number.

349335072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

349335072 is an abundant number, since it is smaller than the sum of its proper divisors (669561408).

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

349335072 is a wasteful number, since it uses less digits than its factorization.

349335072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404342 (or 404328 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 349335072 is about 18690.5075372500. The cubic root of 349335072 is about 704.2833096987.

Subtracting from 349335072 its reverse (270533943), we obtain a square (78801129 = 8877²).

The spelling of 349335072 in words is "three hundred forty-nine million, three hundred thirty-five thousand, seventy-two".