8348870400 has 648 divisors, whose sum is σ = 31169005056. Its totient is φ = 1964851200.

The previous prime is 8348870393. The next prime is 8348870429. The reversal of 8348870400 is 40788438.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100588759 + ... + 100588841.

Almost surely, 2^8348870400 is an apocalyptic number.

8348870400 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 8348870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584502528).

8348870400 is an abundant number, since it is smaller than the sum of its proper divisors (22820134656).

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

8348870400 is a wasteful number, since it uses less digits than its factorization.

8348870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 8348870400 is about 91372.1533072303. The cubic root of 8348870400 is about 2028.6598773084.

The spelling of 8348870400 in words is "eight billion, three hundred forty-eight million, eight hundred seventy thousand, four hundred".