350973233280 has 640 divisors, whose sum is σ = 1275619752000. Its totient is φ = 91950391296.

The previous prime is 350973233269. The next prime is 350973233291. The reversal of 350973233280 is 82332379053.

It is a happy number.

350973233280 is a `hidden beast` number, since 3 + 50 + 97 + 3 + 233 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (350973233269) and next prime (350973233291).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1011450067 + ... + 1011450413.

Almost surely, 2^350973233280 is an apocalyptic number.

350973233280 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 350973233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637809876000).

350973233280 is an abundant number, since it is smaller than the sum of its proper divisors (924646518720).

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

350973233280 is a wasteful number, since it uses less digits than its factorization.

350973233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 350973233280 in words is "three hundred fifty billion, nine hundred seventy-three million, two hundred thirty-three thousand, two hundred eighty".