3233623680 has 960 divisors, whose sum is σ = 14351277600. Its totient is φ = 689762304.

The previous prime is 3233623667. The next prime is 3233623753. The reversal of 3233623680 is 863263323.

3233623680 is a `hidden beast` number, since 3 + 23 + 3 + 623 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48263007 + ... + 48263073.

Almost surely, 2^3233623680 is an apocalyptic number.

3233623680 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 3233623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175638800).

3233623680 is an abundant number, since it is smaller than the sum of its proper divisors (11117653920).

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

3233623680 is a wasteful number, since it uses less digits than its factorization.

3233623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3233623680 is about 56864.9600369155. The cubic root of 3233623680 is about 1478.7559060488.

The spelling of 3233623680 in words is "three billion, two hundred thirty-three million, six hundred twenty-three thousand, six hundred eighty".