38444028264 has 96 divisors (see below), whose sum is σ = 107667805440. Its totient is φ = 12379392000.

The previous prime is 38444028239. The next prime is 38444028269. The reversal of 38444028264 is 46282044483.

38444028264 is a `hidden beast` number, since 384 + 4 + 4 + 0 + 2 + 8 + 264 = 666.

It is not an unprimeable number, because it can be changed into a prime (38444028269) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1272939 + ... + 1302789.

It is an arithmetic number, because the mean of its divisors is an integer number (1121539640).

Almost surely, 2^38444028264 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 38444028264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53833902720).

38444028264 is an abundant number, since it is smaller than the sum of its proper divisors (69223777176).

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

38444028264 is a wasteful number, since it uses less digits than its factorization.

38444028264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30471 (or 30464 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 38444028264 in words is "thirty-eight billion, four hundred forty-four million, twenty-eight thousand, two hundred sixty-four".