3223756800 has 672 divisors, whose sum is σ = 13164068160. Its totient is φ = 766771200.

The previous prime is 3223756799. The next prime is 3223756807. The reversal of 3223756800 is 86573223.

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

It is not an unprimeable number, because it can be changed into a prime (3223756807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60825574 + ... + 60825626.

Almost surely, 2^3223756800 is an apocalyptic number.

3223756800 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 3223756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582034080).

3223756800 is an abundant number, since it is smaller than the sum of its proper divisors (9940311360).

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

3223756800 is a wasteful number, since it uses less digits than its factorization.

3223756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3223756800 is about 56778.1366372656. The cubic root of 3223756800 is about 1477.2503121060.

The spelling of 3223756800 in words is "three billion, two hundred twenty-three million, seven hundred fifty-six thousand, eight hundred".