350838432 has 144 divisors (see below), whose sum is σ = 1190488320. Its totient is φ = 100227456.

The previous prime is 350838431. The next prime is 350838437. The reversal of 350838432 is 234838053.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (350838431) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38193 + ... + 46479.

It is an arithmetic number, because the mean of its divisors is an integer number (8267280).

Almost surely, 2^350838432 is an apocalyptic number.

350838432 is a gapful number since it is divisible by the number (32) 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 350838432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595244160).

350838432 is an abundant number, since it is smaller than the sum of its proper divisors (839649888).

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

350838432 is a wasteful number, since it uses less digits than its factorization.

350838432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8320 (or 8299 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 350838432 is about 18730.6815679516. The cubic root of 350838432 is about 705.2921559606.

The spelling of 350838432 in words is "three hundred fifty million, eight hundred thirty-eight thousand, four hundred thirty-two".