359309344 has 48 divisors (see below), whose sum is σ = 737130240. Its totient is φ = 172212480.

The previous prime is 359309341. The next prime is 359309347. The reversal of 359309344 is 443903953.

359309344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (359309341) and next prime (359309347).

It is a junction number, because it is equal to n+sod(n) for n = 359309297 and 359309306.

It is not an unprimeable number, because it can be changed into a prime (359309341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106467 + ... + 109789.

It is an arithmetic number, because the mean of its divisors is an integer number (15356880).

Almost surely, 2^359309344 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 359309344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368565120).

359309344 is an abundant number, since it is smaller than the sum of its proper divisors (377820896).

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

359309344 is a wasteful number, since it uses less digits than its factorization.

359309344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3473 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The square root of 359309344 is about 18955.4568396544. The cubic root of 359309344 is about 710.9234456464.

The spelling of 359309344 in words is "three hundred fifty-nine million, three hundred nine thousand, three hundred forty-four".