38541183408 has 240 divisors, whose sum is σ = 132909993216. Its totient is φ = 10152691200.

The previous prime is 38541183397. The next prime is 38541183427. The reversal of 38541183408 is 80438114583.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19012891 + ... + 19014917.

Almost surely, 2^38541183408 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 38541183408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66454996608).

38541183408 is an abundant number, since it is smaller than the sum of its proper divisors (94368809808).

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

38541183408 is a wasteful number, since it uses less digits than its factorization.

38541183408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 38541183408 in words is "thirty-eight billion, five hundred forty-one million, one hundred eighty-three thousand, four hundred eight".