359743104 has 144 divisors (see below), whose sum is σ = 1204399170. Its totient is φ = 102767616.

The previous prime is 359743063. The next prime is 359743147. The reversal of 359743104 is 401347953.

It can be written as a sum of positive squares in only one way, i.e., 254721600 + 105021504 = 15960^2 + 10248^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 53262 + ... + 59634.

Almost surely, 2^359743104 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 359743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602199585).

359743104 is an abundant number, since it is smaller than the sum of its proper divisors (844656066).

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

359743104 is a wasteful number, since it uses less digits than its factorization.

359743104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6407 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 359743104 is about 18966.8949488312. The cubic root of 359743104 is about 711.2094073610.

The spelling of 359743104 in words is "three hundred fifty-nine million, seven hundred forty-three thousand, one hundred four".