3233940864 has 384 divisors, whose sum is σ = 11035127040. Its totient is φ = 821145600.

The previous prime is 3233940823. The next prime is 3233940907. The reversal of 3233940864 is 4680493323.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 19840047 + ... + 19840209.

It is an arithmetic number, because the mean of its divisors is an integer number (28737310).

Almost surely, 2^3233940864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3233940864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5517563520).

3233940864 is an abundant number, since it is smaller than the sum of its proper divisors (7801186176).

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

3233940864 is a wasteful number, since it uses less digits than its factorization.

3233940864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 3233940864 is about 56867.7488916169. The cubic root of 3233940864 is about 1478.8042545297.

The spelling of 3233940864 in words is "three billion, two hundred thirty-three million, nine hundred forty thousand, eight hundred sixty-four".