8234881200 has 1440 divisors, whose sum is σ = 39178048000. Its totient is φ = 1646023680.

The previous prime is 8234881183. The next prime is 8234881211. The reversal of 8234881200 is 21884328.

It is a happy number.

It is a super-2 number, since 2×8234881200² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 433414791 + ... + 433414809.

Almost surely, 2^8234881200 is an apocalyptic number.

8234881200 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 8234881200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19589024000).

8234881200 is an abundant number, since it is smaller than the sum of its proper divisors (30943166800).

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

8234881200 is a wasteful number, since it uses less digits than its factorization.

8234881200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8234881200 is about 90746.2462033554. The cubic root of 8234881200 is about 2019.3849383827.

The spelling of 8234881200 in words is "eight billion, two hundred thirty-four million, eight hundred eighty-one thousand, two hundred".