3281914944 has 567 divisors, whose sum is σ = 12428617383. Its totient is φ = 824947200.

The previous prime is 3281914901. The next prime is 3281914997. The reversal of 3281914944 is 4494191823.

The square root of 3281914944 is 57288.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime divisors (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3281914944.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 105868209 + ... + 105868239.

Almost surely, 2^3281914944 is an apocalyptic number.

3281914944 is the 57288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3281914944

3281914944 is an abundant number, since it is smaller than the sum of its proper divisors (9146702439).

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

3281914944 is a wasteful number, since it uses less digits than its factorization.

3281914944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 54 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The cubic root of 3281914944 is about 1486.0808591949.

The spelling of 3281914944 in words is "three billion, two hundred eighty-one million, nine hundred fourteen thousand, nine hundred forty-four".