350855920 has 80 divisors (see below), whose sum is σ = 863739360. Its totient is φ = 132314112.

The previous prime is 350855873. The next prime is 350855929. The reversal of 350855920 is 29558053.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 350855920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350855929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98002 + ... + 101518.

It is an arithmetic number, because the mean of its divisors is an integer number (10796742).

Almost surely, 2^350855920 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 350855920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431869680).

350855920 is an abundant number, since it is smaller than the sum of its proper divisors (512883440).

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

350855920 is a wasteful number, since it uses less digits than its factorization.

350855920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

The square root of 350855920 is about 18731.1483897811. The cubic root of 350855920 is about 705.3038745023.

The spelling of 350855920 in words is "three hundred fifty million, eight hundred fifty-five thousand, nine hundred twenty".