38461838880 has 192 divisors, whose sum is σ = 126649958400. Its totient is φ = 9799695360.

The previous prime is 38461838837. The next prime is 38461838881. The reversal of 38461838880 is 8883816483.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38461838880.

It is not an unprimeable number, because it can be changed into a prime (38461838881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1159161 + ... + 1191879.

It is an arithmetic number, because the mean of its divisors is an integer number (659635200).

Almost surely, 2^38461838880 is an apocalyptic number.

38461838880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38461838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63324979200).

38461838880 is an abundant number, since it is smaller than the sum of its proper divisors (88188119520).

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

38461838880 is a wasteful number, since it uses less digits than its factorization.

38461838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32847 (or 32839 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 38461838880 in words is "thirty-eight billion, four hundred sixty-one million, eight hundred thirty-eight thousand, eight hundred eighty".