350975036160 has 972 divisors, whose sum is σ = 1461889722384. Its totient is φ = 77515038720.

The previous prime is 350975036147. The next prime is 350975036177. The reversal of 350975036160 is 61630579053.

350975036160 is a `hidden beast` number, since 3 + 50 + 97 + 503 + 6 + 1 + 6 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 542464957 + ... + 542465603.

It is an arithmetic number, because the mean of its divisors is an integer number (1504001772).

Almost surely, 2^350975036160 is an apocalyptic number.

350975036160 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 350975036160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730944861192).

350975036160 is an abundant number, since it is smaller than the sum of its proper divisors (1110914686224).

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

350975036160 is a wasteful number, since it uses less digits than its factorization.

350975036160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 350975036160 in words is "three hundred fifty billion, nine hundred seventy-five million, thirty-six thousand, one hundred sixty".