350394374880 has 1344 divisors, whose sum is σ = 1425044166336. Its totient is φ = 81293414400.

The previous prime is 350394374861. The next prime is 350394374921. The reversal of 350394374880 is 88473493053.

350394374880 is a `hidden beast` number, since 3 + 503 + 94 + 3 + 7 + 48 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5744170050 + ... + 5744170110.

It is an arithmetic number, because the mean of its divisors is an integer number (1060300719).

Almost surely, 2^350394374880 is an apocalyptic number.

350394374880 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 350394374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712522083168).

350394374880 is an abundant number, since it is smaller than the sum of its proper divisors (1074649791456).

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

350394374880 is an equidigital number, since it uses as much as digits as its factorization.

350394374880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 350394374880 in words is "three hundred fifty billion, three hundred ninety-four million, three hundred seventy-four thousand, eight hundred eighty".