3233260800 has 972 divisors, whose sum is σ = 14965562976. Its totient is φ = 671846400.

The previous prime is 3233260777. The next prime is 3233260817. The reversal of 3233260800 is 80623323.

3233260800 is a `hidden beast` number, since 3 + 23 + 32 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 293932795 + ... + 293932805.

Almost surely, 2^3233260800 is an apocalyptic number.

3233260800 is a gapful number since it is divisible by the number (30) 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 3233260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7482781488).

3233260800 is an abundant number, since it is smaller than the sum of its proper divisors (11732302176).

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

3233260800 is an frugal number, since it uses more digits than its factorization.

3233260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3233260800 is about 56861.7692303010. The cubic root of 3233260800 is about 1478.7005882309.

The spelling of 3233260800 in words is "three billion, two hundred thirty-three million, two hundred sixty thousand, eight hundred".