8870342400 has 540 divisors, whose sum is σ = 33397643664. Its totient is φ = 2322432000.

The previous prime is 8870342359. The next prime is 8870342417. The reversal of 8870342400 is 42430788.

It is a tau number, because it is divible by the number of its divisors (540).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 36806280 + ... + 36806520.

Almost surely, 2^8870342400 is an apocalyptic number.

8870342400 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 8870342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16698821832).

8870342400 is an abundant number, since it is smaller than the sum of its proper divisors (24527301264).

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

8870342400 is a wasteful number, since it uses less digits than its factorization.

8870342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8870342400 is about 94182.4951888619. The cubic root of 8870342400 is about 2070.0466278092.

The spelling of 8870342400 in words is "eight billion, eight hundred seventy million, three hundred forty-two thousand, four hundred".