38441088000 has 1056 divisors, whose sum is σ = 166001546880. Its totient is φ = 8747827200.

The previous prime is 38441087987. The next prime is 38441088001. The reversal of 38441088000 is 88014483.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38441088001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169343887 + ... + 169344113.

Almost surely, 2^38441088000 is an apocalyptic number.

38441088000 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 38441088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83000773440).

38441088000 is an abundant number, since it is smaller than the sum of its proper divisors (127560458880).

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

38441088000 is a wasteful number, since it uses less digits than its factorization.

38441088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 38441088000 in words is "thirty-eight billion, four hundred forty-one million, eighty-eight thousand".