3287105803800 has 1152 divisors, whose sum is σ = 14391375321600. Its totient is φ = 674750269440.

The previous prime is 3287105803781. The next prime is 3287105803801. The reversal of 3287105803800 is 83085017823.

3287105803800 is a `hidden beast` number, since 3 + 28 + 7 + 10 + 580 + 38 + 0 + 0 = 666.

3287105803800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287105803801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 236356447 + ... + 236370353.

It is an arithmetic number, because the mean of its divisors is an integer number (12492513300).

Almost surely, 2^{3287105803800} is an apocalyptic number.

3287105803800 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 3287105803800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7195687660800).

3287105803800 is an abundant number, since it is smaller than the sum of its proper divisors (11104269517800).

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

3287105803800 is a wasteful number, since it uses less digits than its factorization.

3287105803800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14002 (or 13974 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 3287105803800 in words is "three trillion, two hundred eighty-seven billion, one hundred five million, eight hundred three thousand, eight hundred".