3290066208 has 384 divisors, whose sum is σ = 11650867200. Its totient is φ = 889574400.

The previous prime is 3290066203. The next prime is 3290066237. The reversal of 3290066208 is 8026600923.

3290066208 is a `hidden beast` number, since 3 + 29 + 0 + 0 + 6 + 620 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3290066203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3829683 + ... + 3830541.

It is an arithmetic number, because the mean of its divisors is an integer number (30340800).

Almost surely, 2^3290066208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3290066208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825433600).

3290066208 is an abundant number, since it is smaller than the sum of its proper divisors (8360800992).

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

3290066208 is a wasteful number, since it uses less digits than its factorization.

3290066208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3290066208 is about 57359.0987376894. The cubic root of 3290066208 is about 1487.3101641129.

The spelling of 3290066208 in words is "three billion, two hundred ninety million, sixty-six thousand, two hundred eight".