38182349296080 has 640 divisors, whose sum is σ = 144260792432640. Its totient is φ = 9205603799040.

The previous prime is 38182349296073. The next prime is 38182349296081. The reversal of 38182349296080 is 8069294328183.

38182349296080 is a `hidden beast` number, since 3 + 8 + 1 + 8 + 2 + 3 + 492 + 9 + 60 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38182349295999 and 38182349296017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38182349296081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5242664119 + ... + 5242671401.

It is an arithmetic number, because the mean of its divisors is an integer number (225407488176).

Almost surely, 2^{38182349296080} is an apocalyptic number.

38182349296080 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 38182349296080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72130396216320).

38182349296080 is an abundant number, since it is smaller than the sum of its proper divisors (106078443136560).

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

38182349296080 is a wasteful number, since it uses less digits than its factorization.

38182349296080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 38182349296080 in words is "thirty-eight trillion, one hundred eighty-two billion, three hundred forty-nine million, two hundred ninety-six thousand, eighty".