8400349008 has 120 divisors (see below), whose sum is σ = 24884830880. Its totient is φ = 2637930240.

The previous prime is 8400348937. The next prime is 8400349049. The reversal of 8400349008 is 8009430048.

It is a super-3 number, since 3×8400349008³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 486735 + ... + 503697.

Almost surely, 2^8400349008 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 8400349008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12442415440).

8400349008 is an abundant number, since it is smaller than the sum of its proper divisors (16484481872).

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

8400349008 is a wasteful number, since it uses less digits than its factorization.

8400349008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17177 (or 17168 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8400349008 is about 91653.4178740760. The cubic root of 8400349008 is about 2032.8208664509.

The spelling of 8400349008 in words is "eight billion, four hundred million, three hundred forty-nine thousand, eight".