350493312 has 128 divisors (see below), whose sum is σ = 1019934720. Its totient is φ = 105984000.

The previous prime is 350493263. The next prime is 350493317. The reversal of 350493312 is 213394053.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 350493312.

It is not an unprimeable number, because it can be changed into a prime (350493317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303937 + ... + 305087.

It is an arithmetic number, because the mean of its divisors is an integer number (7968240).

Almost surely, 2^350493312 is an apocalyptic number.

350493312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350493312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509967360).

350493312 is an abundant number, since it is smaller than the sum of its proper divisors (669441408).

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

350493312 is a wasteful number, since it uses less digits than its factorization.

350493312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 350493312 is about 18721.4666092163. The cubic root of 350493312 is about 705.0608146321.

The spelling of 350493312 in words is "three hundred fifty million, four hundred ninety-three thousand, three hundred twelve".