38084095393638 has 256 divisors, whose sum is σ = 92028026880000. Its totient is φ = 10272365756928.

The previous prime is 38084095393549. The next prime is 38084095393667. The reversal of 38084095393638 is 83639359048083.

It is a Harshad number since it is a multiple of its sum of digits (69).

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, 23698876231 + ... + 23698877837.

It is an arithmetic number, because the mean of its divisors is an integer number (359484480000).

Almost surely, 2^{38084095393638} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38084095393638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46014013440000).

38084095393638 is an abundant number, since it is smaller than the sum of its proper divisors (53943931486362).

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

38084095393638 is a wasteful number, since it uses less digits than its factorization.

38084095393638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739.

The product of its (nonzero) digits is 403107840, while the sum is 69.

The spelling of 38084095393638 in words is "thirty-eight trillion, eighty-four billion, ninety-five million, three hundred ninety-three thousand, six hundred thirty-eight".