3287151220416 has 168 divisors, whose sum is σ = 10160642447280. Its totient is φ = 935154597888.

The previous prime is 3287151220403. The next prime is 3287151220421. The reversal of 3287151220416 is 6140221517823.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442280 + ... + 2941848.

Almost surely, 2^{3287151220416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3287151220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080321223640).

3287151220416 is an abundant number, since it is smaller than the sum of its proper divisors (6873491226864).

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

3287151220416 is a wasteful number, since it uses less digits than its factorization.

3287151220416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499831 (or 1499814 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 3287151220416 in words is "three trillion, two hundred eighty-seven billion, one hundred fifty-one million, two hundred twenty thousand, four hundred sixteen".