8849318400 has 720 divisors, whose sum is σ = 36015819840. Its totient is φ = 2057011200.

The previous prime is 8849318351. The next prime is 8849318417. The reversal of 8849318400 is 48139488.

8849318400 is a `hidden beast` number, since 88 + 493 + 1 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×8849318400³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28454245 + ... + 28454555.

It is an arithmetic number, because the mean of its divisors is an integer number (50021972).

Almost surely, 2^8849318400 is an apocalyptic number.

8849318400 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 8849318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18007909920).

8849318400 is an abundant number, since it is smaller than the sum of its proper divisors (27166501440).

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

8849318400 is a wasteful number, since it uses less digits than its factorization.

8849318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 8849318400 is about 94070.8158782521. The cubic root of 8849318400 is about 2068.4098969626.

The spelling of 8849318400 in words is "eight billion, eight hundred forty-nine million, three hundred eighteen thousand, four hundred".