8005347350 has 192 divisors, whose sum is σ = 20095713792. Its totient is φ = 2291328000.

The previous prime is 8005347323. The next prime is 8005347397. The reversal of 8005347350 is 537435008.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 8005347350.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15365090 + ... + 15365610.

It is an arithmetic number, because the mean of its divisors is an integer number (104665176).

Almost surely, 2^8005347350 is an apocalyptic number.

8005347350 is an abundant number, since it is smaller than the sum of its proper divisors (12090366442).

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

8005347350 is a wasteful number, since it uses less digits than its factorization.

8005347350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 35.

The square root of 8005347350 is about 89472.6067017163. The cubic root of 8005347350 is about 2000.4455132516.

The spelling of 8005347350 in words is "eight billion, five million, three hundred forty-seven thousand, three hundred fifty".