38084137904754 has 80 divisors (see below), whose sum is σ = 90389039644728. Its totient is φ = 11943659962368.

The previous prime is 38084137904741. The next prime is 38084137904759. The reversal of 38084137904754 is 45740973148083.

38084137904754 is a `hidden beast` number, since 3 + 8 + 0 + 8 + 41 + 37 + 90 + 475 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19543233917529 + 18540903987225 = 4420773^2 + 4305915^2 .

It is a junction number, because it is equal to n+sod(n) for n = 38084137904691 and 38084137904700.

It is not an unprimeable number, because it can be changed into a prime (38084137904759) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5158002 + ... + 10137714.

Almost surely, 2^{38084137904754} is an apocalyptic number.

38084137904754 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38084137904754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45194519822364).

38084137904754 is an abundant number, since it is smaller than the sum of its proper divisors (52304901739974).

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

38084137904754 is a wasteful number, since it uses less digits than its factorization.

38084137904754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982521 (or 4982512 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 38084137904754 in words is "thirty-eight trillion, eighty-four billion, one hundred thirty-seven million, nine hundred four thousand, seven hundred fifty-four".