3838221000768 has 336 divisors, whose sum is σ = 12921371769600. Its totient is φ = 994299909120.

The previous prime is 3838221000767. The next prime is 3838221000773. The reversal of 3838221000768 is 8670001228383.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×3838221000768³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3838221000763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39173023 + ... + 39270881.

It is an arithmetic number, because the mean of its divisors is an integer number (38456463600).

Almost surely, 2^{3838221000768} 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 3838221000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6460685884800).

3838221000768 is an abundant number, since it is smaller than the sum of its proper divisors (9083150768832).

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

3838221000768 is a wasteful number, since it uses less digits than its factorization.

3838221000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98278 (or 98261 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 3838221000768 in words is "three trillion, eight hundred thirty-eight billion, two hundred twenty-one million, seven hundred sixty-eight", and thus it is an aban number.