3205283264040 has 384 divisors, whose sum is σ = 11956872153600. Its totient is φ = 679514434560.

The previous prime is 3205283264003. The next prime is 3205283264047. The reversal of 3205283264040 is 404623825023.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3205283264040.

It is not an unprimeable number, because it can be changed into a prime (3205283264047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3860407 + ... + 4616633.

It is an arithmetic number, because the mean of its divisors is an integer number (31137687900).

Almost surely, 2^{3205283264040} is an apocalyptic number.

3205283264040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3205283264040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5978436076800).

3205283264040 is an abundant number, since it is smaller than the sum of its proper divisors (8751588889560).

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

3205283264040 is a wasteful number, since it uses less digits than its factorization.

3205283264040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756297 (or 756280 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 3205283264040 in words is "three trillion, two hundred five billion, two hundred eighty-three million, two hundred sixty-four thousand, forty".