38184720480 has 72 divisors (see below), whose sum is σ = 130305363552. Its totient is φ = 10182591744.

The previous prime is 38184720443. The next prime is 38184720481. The reversal of 38184720480 is 8402748183.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38184720481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13257144 + ... + 13260023.

It is an arithmetic number, because the mean of its divisors is an integer number (1809796716).

Almost surely, 2^38184720480 is an apocalyptic number.

38184720480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38184720480 is an abundant number, since it is smaller than the sum of its proper divisors (92120643072).

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

38184720480 is a wasteful number, since it uses less digits than its factorization.

38184720480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26517188 (or 26517177 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 38184720480 in words is "thirty-eight billion, one hundred eighty-four million, seven hundred twenty thousand, four hundred eighty".