8344252800 has 1536 divisors, whose sum is σ = 38247552000. Its totient is φ = 1751777280.

The previous prime is 8344252759. The next prime is 8344252843. The reversal of 8344252800 is 82524438.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362793589 + ... + 362793611.

It is an arithmetic number, because the mean of its divisors is an integer number (24900750).

Almost surely, 2^8344252800 is an apocalyptic number.

8344252800 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 8344252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19123776000).

8344252800 is an abundant number, since it is smaller than the sum of its proper divisors (29903299200).

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

8344252800 is a wasteful number, since it uses less digits than its factorization.

8344252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8344252800 is about 91346.8817201770. The cubic root of 8344252800 is about 2028.2858040532.

It can be divided in two parts, 834425 and 2800, that added together give a square (837225 = 915²).

The spelling of 8344252800 in words is "eight billion, three hundred forty-four million, two hundred fifty-two thousand, eight hundred".