38445289344 has 864 divisors, whose sum is σ = 147103734960. Its totient is φ = 9427968000.

The previous prime is 38445289297. The next prime is 38445289369. The reversal of 38445289344 is 44398254483.

It is a happy number.

38445289344 is a `hidden beast` number, since 3 + 84 + 4 + 528 + 9 + 34 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 937689964 + ... + 937690004.

Almost surely, 2^38445289344 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 38445289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73551867480).

38445289344 is an abundant number, since it is smaller than the sum of its proper divisors (108658445616).

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

38445289344 is a wasteful number, since it uses less digits than its factorization.

38445289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 95 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 38445289344 in words is "thirty-eight billion, four hundred forty-five million, two hundred eighty-nine thousand, three hundred forty-four".