3287389324800 has 480 divisors, whose sum is σ = 12423004019712. Its totient is φ = 750680801280.

The previous prime is 3287389324759. The next prime is 3287389324811. The reversal of 3287389324800 is 84239837823.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309921097 + ... + 309931703.

Almost surely, 2^{3287389324800} is an apocalyptic number.

3287389324800 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 3287389324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6211502009856).

3287389324800 is an abundant number, since it is smaller than the sum of its proper divisors (9135614694912).

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

3287389324800 is a wasteful number, since it uses less digits than its factorization.

3287389324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11798 (or 11777 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 3287389324800 in words is "three trillion, two hundred eighty-seven billion, three hundred eighty-nine million, three hundred twenty-four thousand, eight hundred".