3233866988016 has 640 divisors, whose sum is σ = 11119021670400. Its totient is φ = 880506961920.

The previous prime is 3233866987997. The next prime is 3233866988017. The reversal of 3233866988016 is 6108896683323.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3233866988017) 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, 2082334696 + ... + 2082336248.

It is an arithmetic number, because the mean of its divisors is an integer number (17373471360).

Almost surely, 2^{3233866988016} is an apocalyptic number.

3233866988016 is a gapful number since it is divisible by the number (36) 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 3233866988016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559510835200).

3233866988016 is an abundant number, since it is smaller than the sum of its proper divisors (7885154682384).

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

3233866988016 is a wasteful number, since it uses less digits than its factorization.

3233866988016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 3233866988016 in words is "three trillion, two hundred thirty-three billion, eight hundred sixty-six million, nine hundred eighty-eight thousand, sixteen".