350032896 has 132 divisors (see below), whose sum is σ = 1064440000. Its totient is φ = 110481408.

The previous prime is 350032861. The next prime is 350032897. The reversal of 350032896 is 698230053.

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

It is a self number, because there is not a number n which added to its sum of digits gives 350032896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350032897) 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, 174105 + ... + 176103.

Almost surely, 2^350032896 is an apocalyptic number.

350032896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350032896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532220000).

350032896 is an abundant number, since it is smaller than the sum of its proper divisors (714407104).

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

350032896 is a wasteful number, since it uses less digits than its factorization.

350032896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 350032896 is about 18709.1660957938. The cubic root of 350032896 is about 704.7519513661.

The spelling of 350032896 in words is "three hundred fifty million, thirty-two thousand, eight hundred ninety-six".