350797224960 has 3168 divisors, whose sum is σ = 1743016242240. Its totient is φ = 64210599936.

The previous prime is 350797224929. The next prime is 350797224983. The reversal of 350797224960 is 69422797053.

350797224960 is a `hidden beast` number, since 3 + 507 + 9 + 72 + 2 + 4 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 350797224897 and 350797224906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9481006062 + ... + 9481006098.

Almost surely, 2^350797224960 is an apocalyptic number.

350797224960 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 350797224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871508121120).

350797224960 is an abundant number, since it is smaller than the sum of its proper divisors (1392219017280).

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

350797224960 is a wasteful number, since it uses less digits than its factorization.

350797224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 350797224960 in words is "three hundred fifty billion, seven hundred ninety-seven million, two hundred twenty-four thousand, nine hundred sixty".