3281006664 has 96 divisors (see below), whose sum is σ = 10132569720. Its totient is φ = 950151168.

The previous prime is 3281006657. The next prime is 3281006689. The reversal of 3281006664 is 4666001823.

It can be written as a sum of positive squares in 4 ways, for example, as 3266122500 + 14884164 = 57150^2 + 3858^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87187 + ... + 119010.

Almost surely, 2^3281006664 is an apocalyptic number.

3281006664 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3281006664 is an abundant number, since it is smaller than the sum of its proper divisors (6851563056).

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

3281006664 is a wasteful number, since it uses less digits than its factorization.

3281006664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206239 (or 206232 counting only the distinct ones).

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

The square root of 3281006664 is about 57280.0721368261. The cubic root of 3281006664 is about 1485.9437540715.

The spelling of 3281006664 in words is "three billion, two hundred eighty-one million, six thousand, six hundred sixty-four".