3287012115528 has 320 divisors, whose sum is σ = 9747663045120. Its totient is φ = 1033169126400.

The previous prime is 3287012115493. The next prime is 3287012115539. The reversal of 3287012115528 is 8255112107823.

3287012115528 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 0 + 1 + 2 + 115 + 528 = 666.

It is a super-4 number, since 4×3287012115528⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 821135175 + ... + 821139177.

It is an arithmetic number, because the mean of its divisors is an integer number (30461447016).

Almost surely, 2^{3287012115528} 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 3287012115528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4873831522560).

3287012115528 is an abundant number, since it is smaller than the sum of its proper divisors (6460650929592).

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

3287012115528 is a wasteful number, since it uses less digits than its factorization.

3287012115528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 3287012115528 in words is "three trillion, two hundred eighty-seven billion, twelve million, one hundred fifteen thousand, five hundred twenty-eight".