359744353344 has 84 divisors (see below), whose sum is σ = 1033524342396. Its totient is φ = 119637762048.

The previous prime is 359744353301. The next prime is 359744353373. The reversal of 359744353344 is 443353447953.

It is a happy number.

359744353344 is a `hidden beast` number, since 3 + 597 + 4 + 4 + 3 + 5 + 3 + 3 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43999257600 + 315745095744 = 209760^2 + 561912^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471789 + ... + 970604.

It is an arithmetic number, because the mean of its divisors is an integer number (12303861219).

Almost surely, 2^359744353344 is an apocalyptic number.

It is an amenable number.

359744353344 is an abundant number, since it is smaller than the sum of its proper divisors (673779989052).

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

359744353344 is a wasteful number, since it uses less digits than its factorization.

359744353344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442844 (or 1442831 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 54.

The spelling of 359744353344 in words is "three hundred fifty-nine billion, seven hundred forty-four million, three hundred fifty-three thousand, three hundred forty-four".