359396352 has 220 divisors, whose sum is σ = 1228527520. Its totient is φ = 102518784.

The previous prime is 359396351. The next prime is 359396363. The reversal of 359396352 is 253693953.

359396352 is a `hidden beast` number, since 3 + 5 + 9 + 3 + 9 + 635 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 359396298 and 359396307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (359396351) 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 19 ways as a sum of consecutive naturals, for example, 580299 + ... + 580917.

It is an arithmetic number, because the mean of its divisors is an integer number (5584216).

Almost surely, 2^359396352 is an apocalyptic number.

359396352 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 359396352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614263760).

359396352 is an abundant number, since it is smaller than the sum of its proper divisors (869131168).

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

359396352 is an equidigital number, since it uses as much as digits as its factorization.

359396352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 631 counting only the distinct ones).

The product of its digits is 656100, while the sum is 45.

The square root of 359396352 is about 18957.7517654389. The cubic root of 359396352 is about 710.9808252053.

The spelling of 359396352 in words is "three hundred fifty-nine million, three hundred ninety-six thousand, three hundred fifty-two".