38822827680 has 1152 divisors, whose sum is σ = 177526702080. Its totient is φ = 7494819840.

The previous prime is 38822827591. The next prime is 38822827751. The reversal of 38822827680 is 8672822883.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77182309 + ... + 77182811.

It is an arithmetic number, because the mean of its divisors is an integer number (154103040).

Almost surely, 2^38822827680 is an apocalyptic number.

38822827680 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 38822827680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88763351040).

38822827680 is an abundant number, since it is smaller than the sum of its proper divisors (138703874400).

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

38822827680 is a wasteful number, since it uses less digits than its factorization.

38822827680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 38822827680 in words is "thirty-eight billion, eight hundred twenty-two million, eight hundred twenty-seven thousand, six hundred eighty".