38049268824 has 192 divisors, whose sum is σ = 124439328000. Its totient is φ = 10260069120.

The previous prime is 38049268819. The next prime is 38049268871. The reversal of 38049268824 is 42886294083.

38049268824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2568559 + ... + 2583329.

It is an arithmetic number, because the mean of its divisors is an integer number (648121500).

Almost surely, 2^38049268824 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 38049268824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62219664000).

38049268824 is an abundant number, since it is smaller than the sum of its proper divisors (86390059176).

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

38049268824 is a wasteful number, since it uses less digits than its factorization.

38049268824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15078 (or 15071 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 38049268824 in words is "thirty-eight billion, forty-nine million, two hundred sixty-eight thousand, eight hundred twenty-four".