8734132800 has 420 divisors, whose sum is σ = 33803711920. Its totient is φ = 2205895680.

The previous prime is 8734132753. The next prime is 8734132817. The reversal of 8734132800 is 82314378.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2460627 + ... + 2464173.

Almost surely, 2^8734132800 is an apocalyptic number.

8734132800 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 8734132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16901855960).

8734132800 is an abundant number, since it is smaller than the sum of its proper divisors (25069579120).

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

8734132800 is a wasteful number, since it uses less digits than its factorization.

8734132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8734132800 is about 93456.5824326997. The cubic root of 8734132800 is about 2059.3963103633.

The spelling of 8734132800 in words is "eight billion, seven hundred thirty-four million, one hundred thirty-two thousand, eight hundred".