350214823920 has 160 divisors (see below), whose sum is σ = 1169428276800. Its totient is φ = 86188326912.

The previous prime is 350214823909. The next prime is 350214823921. The reversal of 350214823920 is 29328412053.

350214823920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350214823921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19924896 + ... + 19942464.

It is an arithmetic number, because the mean of its divisors is an integer number (7308926730).

Almost surely, 2^350214823920 is an apocalyptic number.

350214823920 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 350214823920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584714138400).

350214823920 is an abundant number, since it is smaller than the sum of its proper divisors (819213452880).

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

350214823920 is a wasteful number, since it uses less digits than its factorization.

350214823920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23987 (or 23981 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 350214823920 in words is "three hundred fifty billion, two hundred fourteen million, eight hundred twenty-three thousand, nine hundred twenty".