350419920 has 80 divisors (see below), whose sum is σ = 1088388672. Its totient is φ = 93265920.

The previous prime is 350419919. The next prime is 350419961. The reversal of 350419920 is 29914053.

350419920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164784 + ... + 166896.

Almost surely, 2^350419920 is an apocalyptic number.

350419920 is a gapful number since it is divisible by the number (30) 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 350419920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544194336).

350419920 is an abundant number, since it is smaller than the sum of its proper divisors (737968752).

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

350419920 is a wasteful number, since it uses less digits than its factorization.

350419920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 350419920 is about 18719.5064037490. The cubic root of 350419920 is about 705.0115988233.

The spelling of 350419920 in words is "three hundred fifty million, four hundred nineteen thousand, nine hundred twenty".