3285442800264 has 64 divisors (see below), whose sum is σ = 8699164698240. Its totient is φ = 1030442193920.

The previous prime is 3285442800251. The next prime is 3285442800287. The reversal of 3285442800264 is 4620082445823.

It is a super-3 number, since 3×3285442800264³ (a number of 39 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 366874 + ... + 2589494.

It is an arithmetic number, because the mean of its divisors is an integer number (135924448410).

Almost surely, 2^{3285442800264} is an apocalyptic number.

3285442800264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3285442800264 is an abundant number, since it is smaller than the sum of its proper divisors (5413721897976).

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

3285442800264 is a wasteful number, since it uses less digits than its factorization.

3285442800264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226270 (or 2226266 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 3285442800264 in words is "three trillion, two hundred eighty-five billion, four hundred forty-two million, eight hundred thousand, two hundred sixty-four".