3287600870400 has 2112 divisors, whose sum is σ = 15174122127360. Its totient is φ = 677619302400.

The previous prime is 3287600870399. The next prime is 3287600870401. The reversal of 3287600870400 is 40780067823.

It is a happy number.

3287600870400 is a `hidden beast` number, since 32 + 8 + 7 + 600 + 8 + 7 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3287600870399) and next prime (3287600870401).

It is a tau number, because it is divible by the number of its divisors (2112).

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 (3287600870401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11868595062 + ... + 11868595338.

Almost surely, 2^{3287600870400} is an apocalyptic number.

3287600870400 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 3287600870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7587061063680).

3287600870400 is an abundant number, since it is smaller than the sum of its proper divisors (11886521256960).

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

3287600870400 is a wasteful number, since it uses less digits than its factorization.

3287600870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 3287600870400 in words is "three trillion, two hundred eighty-seven billion, six hundred million, eight hundred seventy thousand, four hundred".