3282690240 has 280 divisors, whose sum is σ = 11816608320. Its totient is φ = 864940032.

The previous prime is 3282690233. The next prime is 3282690289. The reversal of 3282690240 is 420962823.

3282690240 is a `hidden beast` number, since 328 + 2 + 6 + 90 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3282690195 and 3282690204.

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 39 ways as a sum of consecutive naturals, for example, 2306169 + ... + 2307591.

Almost surely, 2^3282690240 is an apocalyptic number.

3282690240 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 3282690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908304160).

3282690240 is an abundant number, since it is smaller than the sum of its proper divisors (8533918080).

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

3282690240 is a wasteful number, since it uses less digits than its factorization.

3282690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541 (or 1522 counting only the distinct ones).

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

The square root of 3282690240 is about 57294.7662531230. The cubic root of 3282690240 is about 1486.1978703354.

The spelling of 3282690240 in words is "three billion, two hundred eighty-two million, six hundred ninety thousand, two hundred forty".