350667408 has 160 divisors (see below), whose sum is σ = 1141482496. Its totient is φ = 90284544.

The previous prime is 350667397. The next prime is 350667413. The reversal of 350667408 is 804766053.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186891 + ... + 188757.

Almost surely, 2^350667408 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 350667408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570741248).

350667408 is an abundant number, since it is smaller than the sum of its proper divisors (790815088).

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

350667408 is a wasteful number, since it uses less digits than its factorization.

350667408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 350667408 is about 18726.1156676979. The cubic root of 350667408 is about 705.1775338821.

The spelling of 350667408 in words is "three hundred fifty million, six hundred sixty-seven thousand, four hundred eight".