3285640044000 has 384 divisors, whose sum is σ = 11967925132800. Its totient is φ = 875570342400.

The previous prime is 3285640043999. The next prime is 3285640044007. The reversal of 3285640044000 is 4400465823.

3285640044000 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 640 + 0 + 4 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285640044007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170522367 + ... + 170541633.

It is an arithmetic number, because the mean of its divisors is an integer number (31166471700).

Almost surely, 2^{3285640044000} is an apocalyptic number.

3285640044000 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 3285640044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983962566400).

3285640044000 is an abundant number, since it is smaller than the sum of its proper divisors (8682285088800).

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

3285640044000 is a wasteful number, since it uses less digits than its factorization.

3285640044000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20880 (or 20856 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 3285640044000 in words is "three trillion, two hundred eighty-five billion, six hundred forty million, forty-four thousand".