3516281333768 has 64 divisors (see below), whose sum is σ = 7648795422720. Its totient is φ = 1484239579200.

The previous prime is 3516281333767. The next prime is 3516281333809. The reversal of 3516281333768 is 8673331826153.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (3516281333767) 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 15 ways as a sum of consecutive naturals, for example, 3458573 + ... + 4358243.

It is an arithmetic number, because the mean of its divisors is an integer number (119512428480).

Almost surely, 2^{3516281333768} 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 3516281333768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3824397711360).

3516281333768 is an abundant number, since it is smaller than the sum of its proper divisors (4132514088952).

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

3516281333768 is a wasteful number, since it uses less digits than its factorization.

3516281333768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900738 (or 900734 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 56.

The spelling of 3516281333768 in words is "three trillion, five hundred sixteen billion, two hundred eighty-one million, three hundred thirty-three thousand, seven hundred sixty-eight".