3281223792 has 400 divisors, whose sum is σ = 11502835200. Its totient is φ = 787100160.

The previous prime is 3281223779. The next prime is 3281223823. The reversal of 3281223792 is 2973221823.

It is a self number, because there is not a number n which added to its sum of digits gives 3281223792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 113145634 + ... + 113145662.

It is an arithmetic number, because the mean of its divisors is an integer number (28757088).

Almost surely, 2^3281223792 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 3281223792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5751417600).

3281223792 is an abundant number, since it is smaller than the sum of its proper divisors (8221611408).

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

3281223792 is a wasteful number, since it uses less digits than its factorization.

3281223792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 75 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3281223792 is about 57281.9674243125. The cubic root of 3281223792 is about 1485.9765319058.

The spelling of 3281223792 in words is "three billion, two hundred eighty-one million, two hundred twenty-three thousand, seven hundred ninety-two".