8352136800 has 360 divisors, whose sum is σ = 34811740656. Its totient is φ = 1908956160.

The previous prime is 8352136787. The next prime is 8352136801. The reversal of 8352136800 is 86312538.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8352136801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 444394 + ... + 462806.

Almost surely, 2^8352136800 is an apocalyptic number.

8352136800 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 8352136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17405870328).

8352136800 is an abundant number, since it is smaller than the sum of its proper divisors (26459603856).

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

8352136800 is a wasteful number, since it uses less digits than its factorization.

8352136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18452 (or 18430 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 8352136800 is about 91390.0257139695. The cubic root of 8352136800 is about 2028.9244061338.

The spelling of 8352136800 in words is "eight billion, three hundred fifty-two million, one hundred thirty-six thousand, eight hundred".