3281886720 has 1200 divisors, whose sum is σ = 15240162960. Its totient is φ = 668860416.

The previous prime is 3281886689. The next prime is 3281886731. The reversal of 3281886720 is 276881823.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 172730871 + ... + 172730889.

Almost surely, 2^3281886720 is an apocalyptic number.

3281886720 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 3281886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620081480).

3281886720 is an abundant number, since it is smaller than the sum of its proper divisors (11958276240).

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

3281886720 is a wasteful number, since it uses less digits than its factorization.

3281886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3281886720 is about 57287.7536651595. The cubic root of 3281886720 is about 1486.0765991549.

The spelling of 3281886720 in words is "three billion, two hundred eighty-one million, eight hundred eighty-six thousand, seven hundred twenty".