3238803584640 has 1280 divisors, whose sum is σ = 13883861376000. Its totient is φ = 710807519232.

The previous prime is 3238803584587. The next prime is 3238803584663. The reversal of 3238803584640 is 464853088323.

3238803584640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 159 ways as a sum of consecutive naturals, for example, 217668721 + ... + 217683599.

It is an arithmetic number, because the mean of its divisors is an integer number (10846766700).

Almost surely, 2^{3238803584640} is an apocalyptic number.

3238803584640 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 3238803584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941930688000).

3238803584640 is an abundant number, since it is smaller than the sum of its proper divisors (10645057791360).

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

3238803584640 is a wasteful number, since it uses less digits than its factorization.

3238803584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14959 (or 14938 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3238803584640 in words is "three trillion, two hundred thirty-eight billion, eight hundred three million, five hundred eighty-four thousand, six hundred forty".