8834954400 has 864 divisors, whose sum is σ = 36194558400. Its totient is φ = 2012774400.

The previous prime is 8834954393. The next prime is 8834954437. The reversal of 8834954400 is 44594388.

It is a happy number.

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 143 ways as a sum of consecutive naturals, for example, 67442335 + ... + 67442465.

It is an arithmetic number, because the mean of its divisors is an integer number (41891850).

Almost surely, 2^8834954400 is an apocalyptic number.

8834954400 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 8834954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18097279200).

8834954400 is an abundant number, since it is smaller than the sum of its proper divisors (27359604000).

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

8834954400 is a wasteful number, since it uses less digits than its factorization.

8834954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8834954400 is about 93994.4381333279. The cubic root of 8834954400 is about 2067.2901598964.

The spelling of 8834954400 in words is "eight billion, eight hundred thirty-four million, nine hundred fifty-four thousand, four hundred".