8394334938 has 128 divisors (see below), whose sum is σ = 22112870400. Its totient is φ = 2332022400.

The previous prime is 8394334933. The next prime is 8394334943.

8394334938 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8394334933) and next prime (8394334943).

It is a super-4 number, since 4×8394334938⁴ (a number of 41 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (8394334933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337870 + ... + 361862.

It is an arithmetic number, because the mean of its divisors is an integer number (172756800).

Almost surely, 2^8394334938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8394334938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11056435200).

8394334938 is an abundant number, since it is smaller than the sum of its proper divisors (13718535462).

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

8394334938 is a wasteful number, since it uses less digits than its factorization.

8394334938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24065 (or 24059 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 8394334938 is about 91620.6032396644. The cubic root of 8394334938 is about 2032.3356308302.

The spelling of 8394334938 in words is "eight billion, three hundred ninety-four million, three hundred thirty-four thousand, nine hundred thirty-eight".