350413344 has 96 divisors (see below), whose sum is σ = 1025498880. Its totient is φ = 116409600.

The previous prime is 350413307. The next prime is 350413387. The reversal of 350413344 is 443314053.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371914 + ... + 372854.

It is an arithmetic number, because the mean of its divisors is an integer number (10682280).

Almost surely, 2^350413344 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 350413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512749440).

350413344 is an abundant number, since it is smaller than the sum of its proper divisors (675085536).

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

350413344 is a wasteful number, since it uses less digits than its factorization.

350413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 350413344 is about 18719.3307572680. The cubic root of 350413344 is about 705.0071886999.

Adding to 350413344 its reverse (443314053), we get a palindrome (793727397).

The spelling of 350413344 in words is "three hundred fifty million, four hundred thirteen thousand, three hundred forty-four".