38013472120 has 128 divisors (see below), whose sum is σ = 93437245440. Its totient is φ = 13834252800.

The previous prime is 38013472087. The next prime is 38013472129. The reversal of 38013472120 is 2127431083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38013472129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26197395 + ... + 26198845.

It is an arithmetic number, because the mean of its divisors is an integer number (729978480).

Almost surely, 2^38013472120 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 38013472120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46718622720).

38013472120 is an abundant number, since it is smaller than the sum of its proper divisors (55423773320).

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

38013472120 is a wasteful number, since it uses less digits than its factorization.

38013472120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2165 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

It can be divided in two parts, 380134 and 72120, that added together give a palindrome (452254).

The spelling of 38013472120 in words is "thirty-eight billion, thirteen million, four hundred seventy-two thousand, one hundred twenty".