8342937792 has 280 divisors, whose sum is σ = 28735060640. Its totient is φ = 2343997440.

The previous prime is 8342937773. The next prime is 8342937803. The reversal of 8342937792 is 2977392438.

It is a super-2 number, since 2×8342937792² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2211684 + ... + 2215452.

Almost surely, 2^8342937792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8342937792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367530320).

8342937792 is an abundant number, since it is smaller than the sum of its proper divisors (20392122848).

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

8342937792 is a wasteful number, since it uses less digits than its factorization.

8342937792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3861 (or 3842 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 8342937792 is about 91339.6835553967. The cubic root of 8342937792 is about 2028.1792495880.

The spelling of 8342937792 in words is "eight billion, three hundred forty-two million, nine hundred thirty-seven thousand, seven hundred ninety-two".