350576064 has 84 divisors (see below), whose sum is σ = 1017108456. Its totient is φ = 115435008.

The previous prime is 350576047. The next prime is 350576069. The reversal of 350576064 is 460675053.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350576069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44142 + ... + 51474.

It is an arithmetic number, because the mean of its divisors is an integer number (12108434).

Almost surely, 2^350576064 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 350576064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508554228).

350576064 is an abundant number, since it is smaller than the sum of its proper divisors (666532392).

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

350576064 is a wasteful number, since it uses less digits than its factorization.

350576064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7434 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 350576064 is about 18723.6765620430. The cubic root of 350576064 is about 705.1162989066.

The spelling of 350576064 in words is "three hundred fifty million, five hundred seventy-six thousand, sixty-four".