38914065792 has 768 divisors, whose sum is σ = 142215091200. Its totient is φ = 10423074816.

The previous prime is 38914065779. The next prime is 38914065793. The reversal of 38914065792 is 29756041983.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38914065793) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 377806413 + ... + 377806515.

It is an arithmetic number, because the mean of its divisors is an integer number (185175900).

It is a 1-persistent number, because it is pandigital, but 2⋅38914065792 = 77828131584 is not.

Almost surely, 2^38914065792 is an apocalyptic number.

38914065792 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 38914065792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71107545600).

38914065792 is an abundant number, since it is smaller than the sum of its proper divisors (103301025408).

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

38914065792 is a wasteful number, since it uses less digits than its factorization.

38914065792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 38914065792 in words is "thirty-eight billion, nine hundred fourteen million, sixty-five thousand, seven hundred ninety-two".