8397939600 has 240 divisors, whose sum is σ = 29977664640. Its totient is φ = 2232921600.

The previous prime is 8397939559. The next prime is 8397939629. The reversal of 8397939600 is 69397938.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4545877 + ... + 4547723.

It is an arithmetic number, because the mean of its divisors is an integer number (124906936).

Almost surely, 2^8397939600 is an apocalyptic number.

8397939600 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 8397939600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988832320).

8397939600 is an abundant number, since it is smaller than the sum of its proper divisors (21579725040).

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

8397939600 is a wasteful number, since it uses less digits than its factorization.

8397939600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 8397939600 is about 91640.2728062286. The cubic root of 8397939600 is about 2032.6264950344.

The spelling of 8397939600 in words is "eight billion, three hundred ninety-seven million, nine hundred thirty-nine thousand, six hundred".