3286421600 has 288 divisors, whose sum is σ = 10331338752. Its totient is φ = 990720000.

The previous prime is 3286421597. The next prime is 3286421617. The reversal of 3286421600 is 61246823.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 47 ways as a sum of consecutive naturals, for example, 1908740 + ... + 1910460.

It is an arithmetic number, because the mean of its divisors is an integer number (35872704).

Almost surely, 2^3286421600 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 3286421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5165669376).

3286421600 is an abundant number, since it is smaller than the sum of its proper divisors (7044917152).

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

3286421600 is a wasteful number, since it uses less digits than its factorization.

3286421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 3286421600 is about 57327.3198396716. The cubic root of 3286421600 is about 1486.7607663184.

The spelling of 3286421600 in words is "three billion, two hundred eighty-six million, four hundred twenty-one thousand, six hundred".