3282764126418 has 160 divisors (see below), whose sum is σ = 8457505056000. Its totient is φ = 932264795520.

The previous prime is 3282764126407. The next prime is 3282764126437. The reversal of 3282764126418 is 8146214672823.

3282764126418 is a `hidden beast` number, since 3 + 28 + 27 + 64 + 126 + 418 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 615554080 + ... + 615559412.

It is an arithmetic number, because the mean of its divisors is an integer number (52859406600).

Almost surely, 2^{3282764126418} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3282764126418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4228752528000).

3282764126418 is an abundant number, since it is smaller than the sum of its proper divisors (5174740929582).

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

3282764126418 is a wasteful number, since it uses less digits than its factorization.

3282764126418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8534 (or 8525 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 3282764126418 in words is "three trillion, two hundred eighty-two billion, seven hundred sixty-four million, one hundred twenty-six thousand, four hundred eighteen".