350394297120 has 288 divisors, whose sum is σ = 1417151369088. Its totient is φ = 80090062848.

The previous prime is 350394297103. The next prime is 350394297161. The reversal of 350394297120 is 21792493053.

350394297120 is a `hidden beast` number, since 3 + 50 + 394 + 2 + 97 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 371569 + ... + 915888.

It is an arithmetic number, because the mean of its divisors is an integer number (4920664476).

Almost surely, 2^350394297120 is an apocalyptic number.

350394297120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350394297120 is an abundant number, since it is smaller than the sum of its proper divisors (1066757071968).

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

350394297120 is a wasteful number, since it uses less digits than its factorization.

350394297120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287494 (or 1287474 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 350394297120 in words is "three hundred fifty billion, three hundred ninety-four million, two hundred ninety-seven thousand, one hundred twenty".