38849899683840 has 896 divisors, whose sum is σ = 143907517071360. Its totient is φ = 8765935976448.

The previous prime is 38849899683827. The next prime is 38849899683877. The reversal of 38849899683840 is 4838699894883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25016032504 + ... + 25016034056.

It is an arithmetic number, because the mean of its divisors is an integer number (160611068160).

Almost surely, 2^{38849899683840} is an apocalyptic number.

38849899683840 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 38849899683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71953758535680).

38849899683840 is an abundant number, since it is smaller than the sum of its proper divisors (105057617387520).

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

38849899683840 is a wasteful number, since it uses less digits than its factorization.

38849899683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 20639121408, while the sum is 87.

The spelling of 38849899683840 in words is "thirty-eight trillion, eight hundred forty-nine billion, eight hundred ninety-nine million, six hundred eighty-three thousand, eight hundred forty".