3287668855200 has 432 divisors, whose sum is σ = 11379032570304. Its totient is φ = 824331468800.

The previous prime is 3287668855199. The next prime is 3287668855267. The reversal of 3287668855200 is 25588667823.

3287668855200 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 (60).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1048028032 + ... + 1048031168.

It is an arithmetic number, because the mean of its divisors is an integer number (26340353172).

Almost surely, 2^{3287668855200} is an apocalyptic number.

3287668855200 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 3287668855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689516285152).

3287668855200 is an abundant number, since it is smaller than the sum of its proper divisors (8091363715104).

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

3287668855200 is a wasteful number, since it uses less digits than its factorization.

3287668855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4705 (or 4675 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 3287668855200 in words is "three trillion, two hundred eighty-seven billion, six hundred sixty-eight million, eight hundred fifty-five thousand, two hundred".