38992635696000 has 1024 divisors, whose sum is σ = 158052241152000. Its totient is φ = 8305016832000.

The previous prime is 38992635695987. The next prime is 38992635696023. The reversal of 38992635696000 is 69653629983.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 389373936 + ... + 389474064.

It is an arithmetic number, because the mean of its divisors is an integer number (154347891750).

Almost surely, 2^{38992635696000} is an apocalyptic number.

38992635696000 is a gapful number since it is divisible by the number (30) 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 38992635696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79026120576000).

38992635696000 is an abundant number, since it is smaller than the sum of its proper divisors (119059605456000).

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

38992635696000 is a wasteful number, since it uses less digits than its factorization.

38992635696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100248 (or 100226 counting only the distinct ones).

The product of its (nonzero) digits is 113374080, while the sum is 66.

The spelling of 38992635696000 in words is "thirty-eight trillion, nine hundred ninety-two billion, six hundred thirty-five million, six hundred ninety-six thousand".