350651836080 has 960 divisors, whose sum is σ = 1519522744320. Its totient is φ = 73884109824.

The previous prime is 350651836049. The next prime is 350651836091. The reversal of 350651836080 is 80638156053.

350651836080 is a `hidden beast` number, since 3 + 50 + 6 + 518 + 3 + 6 + 0 + 80 = 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 191 ways as a sum of consecutive naturals, for example, 471940189 + ... + 471940931.

It is an arithmetic number, because the mean of its divisors is an integer number (1582836192).

Almost surely, 2^350651836080 is an apocalyptic number.

350651836080 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 350651836080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759761372160).

350651836080 is an abundant number, since it is smaller than the sum of its proper divisors (1168870908240).

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

350651836080 is an equidigital number, since it uses as much as digits as its factorization.

350651836080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

It can be divided in two parts, 35065 and 1836080, that added together give a triangular number (1871145 = T₁₉₃₄).

The spelling of 350651836080 in words is "three hundred fifty billion, six hundred fifty-one million, eight hundred thirty-six thousand, eighty".