8349868800 has 1296 divisors, whose sum is σ = 38748353280. Its totient is φ = 1731870720.

The previous prime is 8349868789. The next prime is 8349868811. The reversal of 8349868800 is 88689438.

It is an interprime number because it is at equal distance from previous prime (8349868789) and next prime (8349868811).

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 141523171 + ... + 141523229.

Almost surely, 2^8349868800 is an apocalyptic number.

8349868800 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 8349868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19374176640).

8349868800 is an abundant number, since it is smaller than the sum of its proper divisors (30398484480).

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

8349868800 is a wasteful number, since it uses less digits than its factorization.

8349868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8349868800 is about 91377.6165152057. The cubic root of 8349868800 is about 2028.7407398759.

The spelling of 8349868800 in words is "eight billion, three hundred forty-nine million, eight hundred sixty-eight thousand, eight hundred".