38369006005792 has 96 divisors (see below), whose sum is σ = 94199655158784. Its totient is φ = 14945600544000.

The previous prime is 38369006005789. The next prime is 38369006005801. The reversal of 38369006005792 is 29750060096383.

38369006005792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9218013 + ... + 12716515.

It is an arithmetic number, because the mean of its divisors is an integer number (981246407904).

Almost surely, 2^{38369006005792} is an apocalyptic number.

38369006005792 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38369006005792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47099827579392).

38369006005792 is an abundant number, since it is smaller than the sum of its proper divisors (55830649152992).

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

38369006005792 is a wasteful number, since it uses less digits than its factorization.

38369006005792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502982 (or 3502974 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 58.

The spelling of 38369006005792 in words is "thirty-eight trillion, three hundred sixty-nine billion, six million, five thousand, seven hundred ninety-two".