8834214800 has 30 divisors (see below), whose sum is σ = 21224202018. Its totient is φ = 3533685760.

The previous prime is 8834214797. The next prime is 8834214803. The reversal of 8834214800 is 84124388.

It is an interprime number because it is at equal distance from previous prime (8834214797) and next prime (8834214803).

It can be written as a sum of positive squares in 3 ways, for example, as 1249198336 + 7585016464 = 35344^2 + 87092^2 .

It is a super-2 number, since 2×8834214800² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8834214803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11042369 + ... + 11043168.

Almost surely, 2^8834214800 is an apocalyptic number.

8834214800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8834214800 is an abundant number, since it is smaller than the sum of its proper divisors (12389987218).

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

8834214800 is a wasteful number, since it uses less digits than its factorization.

8834214800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22085555 (or 22085544 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 8834214800 is about 93990.5037756475. The cubic root of 8834214800 is about 2067.2324719748.

The spelling of 8834214800 in words is "eight billion, eight hundred thirty-four million, two hundred fourteen thousand, eight hundred".