3281029440 has 448 divisors, whose sum is σ = 12013021440. Its totient is φ = 752025600.

The previous prime is 3281029397. The next prime is 3281029481. The reversal of 3281029440 is 449201823.

It is a super-2 number, since 2×3281029440² = 21530308372293427200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23949052 + ... + 23949188.

It is an arithmetic number, because the mean of its divisors is an integer number (26814780).

Almost surely, 2^3281029440 is an apocalyptic number.

3281029440 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 3281029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006510720).

3281029440 is an abundant number, since it is smaller than the sum of its proper divisors (8731992000).

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

3281029440 is a wasteful number, since it uses less digits than its factorization.

3281029440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3281029440 is about 57280.2709490798. The cubic root of 3281029440 is about 1485.9471924244.

The spelling of 3281029440 in words is "three billion, two hundred eighty-one million, twenty-nine thousand, four hundred forty".