3838495584000 has 864 divisors, whose sum is σ = 16016319341568. Its totient is φ = 797592576000.

The previous prime is 3838495583971. The next prime is 3838495584013. The reversal of 3838495584000 is 4855948383.

3838495584000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81288397 + ... + 81335603.

Almost surely, 2^{3838495584000} is an apocalyptic number.

3838495584000 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 3838495584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8008159670784).

3838495584000 is an abundant number, since it is smaller than the sum of its proper divisors (12177823757568).

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

3838495584000 is a wasteful number, since it uses less digits than its factorization.

3838495584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47270 (or 47235 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 3838495584000 in words is "three trillion, eight hundred thirty-eight billion, four hundred ninety-five million, five hundred eighty-four thousand".