3230864640 has 432 divisors, whose sum is σ = 11785213440. Its totient is φ = 816168960.

The previous prime is 3230864627. The next prime is 3230864701. The reversal of 3230864640 is 464680323.

It is a happy number.

3230864640 is a `hidden beast` number, since 3 + 2 + 3 + 0 + 8 + 6 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3230864595 and 3230864604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29640906 + ... + 29641014.

Almost surely, 2^3230864640 is an apocalyptic number.

3230864640 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 3230864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892606720).

3230864640 is an abundant number, since it is smaller than the sum of its proper divisors (8554348800).

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

3230864640 is a wasteful number, since it uses less digits than its factorization.

3230864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3230864640 is about 56840.6952807581. The cubic root of 3230864640 is about 1478.3352110810.

The spelling of 3230864640 in words is "three billion, two hundred thirty million, eight hundred sixty-four thousand, six hundred forty".