38301932448 has 288 divisors, whose sum is σ = 121571154432. Its totient is φ = 11359180800.

The previous prime is 38301932447. The next prime is 38301932483. The reversal of 38301932448 is 84423910383.

38301932448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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 not an unprimeable number, because it can be changed into a prime (38301932443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38416686 + ... + 38417682.

It is an arithmetic number, because the mean of its divisors is an integer number (422122064).

Almost surely, 2^38301932448 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 38301932448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60785577216).

38301932448 is an abundant number, since it is smaller than the sum of its proper divisors (83269221984).

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

38301932448 is a wasteful number, since it uses less digits than its factorization.

38301932448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38301932448 in words is "thirty-eight billion, three hundred one million, nine hundred thirty-two thousand, four hundred forty-eight".