3233480269824 has 1792 divisors, whose sum is σ = 12380829696000. Its totient is φ = 822984966144.

The previous prime is 3233480269823. The next prime is 3233480269829. The reversal of 3233480269824 is 4289620843323.

3233480269824 is a `hidden beast` number, since 3 + 2 + 33 + 480 + 26 + 98 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233480269823) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54804750307 + ... + 54804750365.

Almost surely, 2^{3233480269824} 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 3233480269824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190414848000).

3233480269824 is an abundant number, since it is smaller than the sum of its proper divisors (9147349426176).

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

3233480269824 is an frugal number, since it uses more digits than its factorization.

3233480269824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 3233480269824 in words is "three trillion, two hundred thirty-three billion, four hundred eighty million, two hundred sixty-nine thousand, eight hundred twenty-four".