38445577344 has 128 divisors (see below), whose sum is σ = 114040080000. Its totient is φ = 12750566400.

The previous prime is 38445577321. The next prime is 38445577349. The reversal of 38445577344 is 44377554483.

38445577344 is a `hidden beast` number, since 3 + 8 + 44 + 557 + 7 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (38445577349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 659794 + ... + 715694.

It is an arithmetic number, because the mean of its divisors is an integer number (890938125).

Almost surely, 2^38445577344 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 38445577344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57020040000).

38445577344 is an abundant number, since it is smaller than the sum of its proper divisors (75594502656).

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

38445577344 is a wasteful number, since it uses less digits than its factorization.

38445577344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56123 (or 56105 counting only the distinct ones).

The product of its digits is 22579200, while the sum is 54.

The spelling of 38445577344 in words is "thirty-eight billion, four hundred forty-five million, five hundred seventy-seven thousand, three hundred forty-four".