3835731585440 has 192 divisors, whose sum is σ = 9664572153600. Its totient is φ = 1434481311744.

The previous prime is 3835731585403. The next prime is 3835731585487. The reversal of 3835731585440 is 445851375383.

3835731585440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91723256 + ... + 91765064.

It is an arithmetic number, because the mean of its divisors is an integer number (50336313300).

Almost surely, 2^{3835731585440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835731585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4832286076800).

3835731585440 is an abundant number, since it is smaller than the sum of its proper divisors (5828840568160).

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

3835731585440 is a wasteful number, since it uses less digits than its factorization.

3835731585440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42239 (or 42231 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 56.

The spelling of 3835731585440 in words is "three trillion, eight hundred thirty-five billion, seven hundred thirty-one million, five hundred eighty-five thousand, four hundred forty".