347964320 has 96 divisors (see below), whose sum is σ = 902010816. Its totient is φ = 125798400.

The previous prime is 347964293. The next prime is 347964329. The reversal of 347964320 is 23469743.

It is not an unprimeable number, because it can be changed into a prime (347964329) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 370892 + ... + 371828.

It is an arithmetic number, because the mean of its divisors is an integer number (9395946).

Almost surely, 2^347964320 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 347964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451005408).

347964320 is an abundant number, since it is smaller than the sum of its proper divisors (554046496).

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

347964320 is a wasteful number, since it uses less digits than its factorization.

347964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1166 counting only the distinct ones).

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

The square root of 347964320 is about 18653.8017572826. The cubic root of 347964320 is about 703.3609257211.

The spelling of 347964320 in words is "three hundred forty-seven million, nine hundred sixty-four thousand, three hundred twenty".