38461582723180 has 96 divisors (see below), whose sum is σ = 87200979110784. Its totient is φ = 14195542093824.

The previous prime is 38461582723169. The next prime is 38461582723243. The reversal of 38461582723180 is 8132728516483.

38461582723180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22661034 + ... + 24299086.

It is an arithmetic number, because the mean of its divisors is an integer number (908343532404).

Almost surely, 2^{38461582723180} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38461582723180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43600489555392).

38461582723180 is an abundant number, since it is smaller than the sum of its proper divisors (48739396387604).

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

38461582723180 is a wasteful number, since it uses less digits than its factorization.

38461582723180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639435 (or 1639433 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 58.

The spelling of 38461582723180 in words is "thirty-eight trillion, four hundred sixty-one billion, five hundred eighty-two million, seven hundred twenty-three thousand, one hundred eighty".