350921808 has 100 divisors (see below), whose sum is σ = 1050805140. Its totient is φ = 112928256.

The previous prime is 350921783. The next prime is 350921827. The reversal of 350921808 is 808129053.

It can be written as a sum of positive squares in 2 ways, for example, as 271854144 + 79067664 = 16488^2 + 8892^2 .

It is a super-2 number, since 2×350921808² = 246292230659977728, which contains 22 as substring.

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

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, 32916 + ... + 42252.

Almost surely, 2^350921808 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 350921808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525402570).

350921808 is an abundant number, since it is smaller than the sum of its proper divisors (699883332).

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

350921808 is a wasteful number, since it uses less digits than its factorization.

350921808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9386 (or 9371 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 350921808 is about 18732.9070888637. The cubic root of 350921808 is about 705.3480219242.

The spelling of 350921808 in words is "three hundred fifty million, nine hundred twenty-one thousand, eight hundred eight".