3282249600 has 768 divisors, whose sum is σ = 14105049600. Its totient is φ = 739031040.

The previous prime is 3282249599. The next prime is 3282249617. The reversal of 3282249600 is 69422823.

3282249600 is a `hidden beast` number, since 3 + 2 + 8 + 2 + 2 + 49 + 600 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 48988767 + ... + 48988833.

It is an arithmetic number, because the mean of its divisors is an integer number (18365950).

Almost surely, 2^3282249600 is an apocalyptic number.

3282249600 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 3282249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7052524800).

3282249600 is an abundant number, since it is smaller than the sum of its proper divisors (10822800000).

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

3282249600 is an frugal number, since it uses more digits than its factorization.

3282249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 84 counting only the distinct ones).

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

The square root of 3282249600 is about 57290.9207466593. The cubic root of 3282249600 is about 1486.1313692357.

The spelling of 3282249600 in words is "three billion, two hundred eighty-two million, two hundred forty-nine thousand, six hundred".