3281338840 has 256 divisors, whose sum is σ = 8639447040. Its totient is φ = 1112832000.

The previous prime is 3281338811. The next prime is 3281338843. The reversal of 3281338840 is 488331823.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 3281338793 and 3281338802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3281338843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46216005 + ... + 46216075.

It is an arithmetic number, because the mean of its divisors is an integer number (33747840).

Almost surely, 2^3281338840 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 3281338840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319723520).

3281338840 is an abundant number, since it is smaller than the sum of its proper divisors (5358108200).

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

3281338840 is a wasteful number, since it uses less digits than its factorization.

3281338840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 3281338840 is about 57282.9716407939. The cubic root of 3281338840 is about 1485.9938990672.

The spelling of 3281338840 in words is "three billion, two hundred eighty-one million, three hundred thirty-eight thousand, eight hundred forty".