38062028800 has 144 divisors (see below), whose sum is σ = 96384768480. Its totient is φ = 14899937280.

The previous prime is 38062028759. The next prime is 38062028801. The reversal of 38062028800 is 882026083.

It is a self number, because there is not a number n which added to its sum of digits gives 38062028800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38062028801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2398492 + ... + 2414308.

It is an arithmetic number, because the mean of its divisors is an integer number (669338670).

Almost surely, 2^38062028800 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 38062028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48192384240).

38062028800 is an abundant number, since it is smaller than the sum of its proper divisors (58322739680).

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

38062028800 is a wasteful number, since it uses less digits than its factorization.

38062028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15896 (or 15871 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 38062028800 in words is "thirty-eight billion, sixty-two million, twenty-eight thousand, eight hundred".