349746320 has 120 divisors (see below), whose sum is σ = 1032041088. Its totient is φ = 108998400.

The previous prime is 349746307. The next prime is 349746361. The reversal of 349746320 is 23647943.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39065 + ... + 47175.

Almost surely, 2^349746320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349746320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516020544).

349746320 is an abundant number, since it is smaller than the sum of its proper divisors (682294768).

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

349746320 is a wasteful number, since it uses less digits than its factorization.

349746320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 38.

The square root of 349746320 is about 18701.5058217246. The cubic root of 349746320 is about 704.5595693171.

The spelling of 349746320 in words is "three hundred forty-nine million, seven hundred forty-six thousand, three hundred twenty".