359997312 has 64 divisors (see below), whose sum is σ = 968428800. Its totient is φ = 118470144.

The previous prime is 359997307. The next prime is 359997317. The reversal of 359997312 is 213799953.

359997312 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 (359997307) and next prime (359997317).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359997317) 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, 24403 + ... + 36269.

It is an arithmetic number, because the mean of its divisors is an integer number (15131700).

Almost surely, 2^359997312 is an apocalyptic number.

359997312 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 359997312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484214400).

359997312 is an abundant number, since it is smaller than the sum of its proper divisors (608431488).

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

359997312 is a wasteful number, since it uses less digits than its factorization.

359997312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11963 (or 11951 counting only the distinct ones).

The product of its digits is 459270, while the sum is 48.

The square root of 359997312 is about 18973.5951258585. The cubic root of 359997312 is about 711.3768903512.

The spelling of 359997312 in words is "three hundred fifty-nine million, nine hundred ninety-seven thousand, three hundred twelve".