38144080080 has 60 divisors (see below), whose sum is σ = 128100538020. Its totient is φ = 10171754496.

The previous prime is 38144080069. The next prime is 38144080087. The reversal of 38144080080 is 8008044183.

It can be written as a sum of positive squares in 2 ways, for example, as 16152376464 + 21991703616 = 127092^2 + 148296^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38144080087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26488225 + ... + 26489664.

It is an arithmetic number, because the mean of its divisors is an integer number (2135008967).

Almost surely, 2^38144080080 is an apocalyptic number.

38144080080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38144080080 is an abundant number, since it is smaller than the sum of its proper divisors (89956457940).

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

38144080080 is a wasteful number, since it uses less digits than its factorization.

38144080080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52977908 (or 52977899 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 38144080080 in words is "thirty-eight billion, one hundred forty-four million, eighty thousand, eighty".