3286248000 has 448 divisors, whose sum is σ = 12821692416. Its totient is φ = 725760000.

The previous prime is 3286247983. The next prime is 3286248061. The reversal of 3286248000 is 8426823.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5207685 + ... + 5208315.

Almost surely, 2^3286248000 is an apocalyptic number.

3286248000 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 3286248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410846208).

3286248000 is an abundant number, since it is smaller than the sum of its proper divisors (9535444416).

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

3286248000 is a wasteful number, since it uses less digits than its factorization.

3286248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3286248000 is about 57325.8057073775. The cubic root of 3286248000 is about 1486.7345872656.

The spelling of 3286248000 in words is "three billion, two hundred eighty-six million, two hundred forty-eight thousand".