38078001792 has 192 divisors, whose sum is σ = 111977199360. Its totient is φ = 12415703040.

The previous prime is 38078001779. The next prime is 38078001811. The reversal of 38078001792 is 29710087083.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×38078001792² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26314413 + ... + 26315859.

It is an arithmetic number, because the mean of its divisors is an integer number (583214580).

Almost surely, 2^38078001792 is an apocalyptic number.

38078001792 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 38078001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55988599680).

38078001792 is an abundant number, since it is smaller than the sum of its proper divisors (73899197568).

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

38078001792 is a wasteful number, since it uses less digits than its factorization.

38078001792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 38078001792 in words is "thirty-eight billion, seventy-eight million, one thousand, seven hundred ninety-two".