38541556800 has 1008 divisors, whose sum is σ = 154218589200. Its totient is φ = 9083289600.

The previous prime is 38541556799. The next prime is 38541556813. The reversal of 38541556800 is 865514583.

38541556800 is a `hidden beast` number, since 3 + 85 + 4 + 1 + 5 + 568 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 34364261376 + 4177295424 = 185376^2 + 64632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 433051156 + ... + 433051244.

Almost surely, 2^38541556800 is an apocalyptic number.

38541556800 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 38541556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77109294600).

38541556800 is an abundant number, since it is smaller than the sum of its proper divisors (115677032400).

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

38541556800 is a wasteful number, since it uses less digits than its factorization.

38541556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 38541556800 in words is "thirty-eight billion, five hundred forty-one million, five hundred fifty-six thousand, eight hundred".