38248768800 has 432 divisors, whose sum is σ = 150737539680. Its totient is φ = 9045504000.

The previous prime is 38248768751. The next prime is 38248768823. The reversal of 38248768800 is 886784283.

38248768800 is a `hidden beast` number, since 3 + 82 + 487 + 6 + 8 + 80 + 0 = 666.

38248768800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3241311 + ... + 3253089.

It is an arithmetic number, because the mean of its divisors is an integer number (348929490).

Almost surely, 2^38248768800 is an apocalyptic number.

38248768800 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 38248768800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75368769840).

38248768800 is an abundant number, since it is smaller than the sum of its proper divisors (112488770880).

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

38248768800 is a wasteful number, since it uses less digits than its factorization.

38248768800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11857 (or 11841 counting only the distinct ones).

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

The spelling of 38248768800 in words is "thirty-eight billion, two hundred forty-eight million, seven hundred sixty-eight thousand, eight hundred".