3200682240 has 432 divisors, whose sum is σ = 13328515200. Its totient is φ = 692748288.

The previous prime is 3200682229. The next prime is 3200682257. The reversal of 3200682240 is 422860023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531116 + ... + 1533204.

Almost surely, 2^3200682240 is an apocalyptic number.

3200682240 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 3200682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664257600).

3200682240 is an abundant number, since it is smaller than the sum of its proper divisors (10127832960).

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

3200682240 is a wasteful number, since it uses less digits than its factorization.

3200682240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3200682240 is about 56574.5723801780. The cubic root of 3200682240 is about 1473.7173167500.

The spelling of 3200682240 in words is "three billion, two hundred million, six hundred eighty-two thousand, two hundred forty".