38404073721840 has 80 divisors (see below), whose sum is σ = 121070469744000. Its totient is φ = 10067508587776.

The previous prime is 38404073721787. The next prime is 38404073721847. The reversal of 38404073721840 is 4812737040483.

38404073721840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38404073721847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356061890 + ... + 1356090209.

It is an arithmetic number, because the mean of its divisors is an integer number (1513380871800).

Almost surely, 2^{38404073721840} is an apocalyptic number.

38404073721840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38404073721840 is an abundant number, since it is smaller than the sum of its proper divisors (82666396022160).

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

38404073721840 is a wasteful number, since it uses less digits than its factorization.

38404073721840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712152174 (or 2712152168 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 51.

The spelling of 38404073721840 in words is "thirty-eight trillion, four hundred four billion, seventy-three million, seven hundred twenty-one thousand, eight hundred forty".