3287097507120 has 160 divisors (see below), whose sum is σ = 11657642577408. Its totient is φ = 750567174144.

The previous prime is 3287097507101. The next prime is 3287097507143. The reversal of 3287097507120 is 217057907823.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640027 + ... + 2642693.

Almost surely, 2^{3287097507120} is an apocalyptic number.

3287097507120 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 3287097507120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828821288704).

3287097507120 is an abundant number, since it is smaller than the sum of its proper divisors (8370545070288).

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

3287097507120 is a wasteful number, since it uses less digits than its factorization.

3287097507120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003667 (or 2003661 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 51.

The spelling of 3287097507120 in words is "three trillion, two hundred eighty-seven billion, ninety-seven million, five hundred seven thousand, one hundred twenty".