350404704 has 120 divisors (see below), whose sum is σ = 1109908800. Its totient is φ = 107806464.

The previous prime is 350404619. The next prime is 350404727. The reversal of 350404704 is 407404053.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28497 + ... + 38895.

It is an arithmetic number, because the mean of its divisors is an integer number (9249240).

Almost surely, 2^350404704 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 350404704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554954400).

350404704 is an abundant number, since it is smaller than the sum of its proper divisors (759504096).

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

350404704 is a wasteful number, since it uses less digits than its factorization.

350404704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10434 (or 10417 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 350404704 is about 18719.0999783643. The cubic root of 350404704 is about 705.0013942933.

Adding to 350404704 its reverse (407404053), we get a palindrome (757808757).

The spelling of 350404704 in words is "three hundred fifty million, four hundred four thousand, seven hundred four".