3281394240 has 336 divisors, whose sum is σ = 12326233920. Its totient is φ = 828610560.

The previous prime is 3281394229. The next prime is 3281394269. The reversal of 3281394240 is 424931823.

3281394240 is a `hidden beast` number, since 3 + 28 + 1 + 394 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3281394195 and 3281394204.

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, 1476330 + ... + 1478550.

It is an arithmetic number, because the mean of its divisors is an integer number (36685220).

Almost surely, 2^3281394240 is an apocalyptic number.

3281394240 is a gapful number since it is divisible by the number (30) 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 3281394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163116960).

3281394240 is an abundant number, since it is smaller than the sum of its proper divisors (9044839680).

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

3281394240 is a wasteful number, since it uses less digits than its factorization.

3281394240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3281394240 is about 57283.4552030514. The cubic root of 3281394240 is about 1486.0022618731.

The spelling of 3281394240 in words is "three billion, two hundred eighty-one million, three hundred ninety-four thousand, two hundred forty".