38244140928 has 576 divisors, whose sum is σ = 138659713920. Its totient is φ = 10442234880.

The previous prime is 38244140923. The next prime is 38244140971. The reversal of 38244140928 is 82904144283.

38244140928 is a `hidden beast` number, since 3 + 82 + 441 + 40 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×38244140928² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38244140923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35053663 + ... + 35054753.

It is an arithmetic number, because the mean of its divisors is an integer number (240728670).

Almost surely, 2^38244140928 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 38244140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69329856960).

38244140928 is an abundant number, since it is smaller than the sum of its proper divisors (100415572992).

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

38244140928 is a wasteful number, since it uses less digits than its factorization.

38244140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 38244140928 in words is "thirty-eight billion, two hundred forty-four million, one hundred forty thousand, nine hundred twenty-eight".