350620189920 has 2592 divisors, whose sum is σ = 1720058548320. Its totient is φ = 67251824640.

The previous prime is 350620189903. The next prime is 350620189967. The reversal of 350620189920 is 29981026053.

350620189920 is a `hidden beast` number, since 3 + 5 + 0 + 620 + 18 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 26970783834 + ... + 26970783846.

It is an arithmetic number, because the mean of its divisors is an integer number (663602835).

Almost surely, 2^350620189920 is an apocalyptic number.

350620189920 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 350620189920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860029274160).

350620189920 is an abundant number, since it is smaller than the sum of its proper divisors (1369438358400).

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

350620189920 is a wasteful number, since it uses less digits than its factorization.

350620189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 350620189920 in words is "three hundred fifty billion, six hundred twenty million, one hundred eighty-nine thousand, nine hundred twenty".