8340724000 has 192 divisors, whose sum is σ = 23690983680. Its totient is φ = 2826700800.

The previous prime is 8340723997. The next prime is 8340724057. The reversal of 8340724000 is 4270438.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 8340724000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2490327 + ... + 2493673.

It is an arithmetic number, because the mean of its divisors is an integer number (123390540).

Almost surely, 2^8340724000 is an apocalyptic number.

8340724000 is a gapful number since it is divisible by the number (80) 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 8340724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11845491840).

8340724000 is an abundant number, since it is smaller than the sum of its proper divisors (15350259680).

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

8340724000 is a wasteful number, since it uses less digits than its factorization.

8340724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 8340724000 is about 91327.5642946860. The cubic root of 8340724000 is about 2027.9998417941. Note that the first 3 decimals are identical.

Adding to 8340724000 its reverse (4270438), we get a palindrome (8344994438).

The spelling of 8340724000 in words is "eight billion, three hundred forty million, seven hundred twenty-four thousand".