38848826016 has 1728 divisors, whose sum is σ = 168650366976. Its totient is φ = 8622028800.

The previous prime is 38848826011. The next prime is 38848826021. The reversal of 38848826016 is 61062884883.

It is an interprime number because it is at equal distance from previous prime (38848826011) and next prime (38848826021).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38848826011) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1253187921 + ... + 1253187951.

It is an arithmetic number, because the mean of its divisors is an integer number (97598592).

Almost surely, 2^38848826016 is an apocalyptic number.

38848826016 is a gapful number since it is divisible by the number (36) 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 38848826016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84325183488).

38848826016 is an abundant number, since it is smaller than the sum of its proper divisors (129801540960).

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

38848826016 is a wasteful number, since it uses less digits than its factorization.

38848826016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 38848826016 in words is "thirty-eight billion, eight hundred forty-eight million, eight hundred twenty-six thousand, sixteen".