3838500006720 has 672 divisors, whose sum is σ = 12987588472320. Its totient is φ = 960265912320.

The previous prime is 3838500006701. The next prime is 3838500006721. The reversal of 3838500006720 is 276000058383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3838500006721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9668765562 + ... + 9668765958.

It is an arithmetic number, because the mean of its divisors is an integer number (19326768560).

Almost surely, 2^{3838500006720} is an apocalyptic number.

3838500006720 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 3838500006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6493794236160).

3838500006720 is an abundant number, since it is smaller than the sum of its proper divisors (9149088465600).

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

3838500006720 is a wasteful number, since it uses less digits than its factorization.

3838500006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 3838500006720 in words is "three trillion, eight hundred thirty-eight billion, five hundred million, six thousand, seven hundred twenty".