38043648000 has 608 divisors, whose sum is σ = 143948238720. Its totient is φ = 9909043200.

The previous prime is 38043647977. The next prime is 38043648007. The reversal of 38043648000 is 84634083.

38043648000 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 3 + 648 + 0 + 0 + 0 = 666.

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 (38043648007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884735979 + ... + 884736021.

Almost surely, 2^38043648000 is an apocalyptic number.

38043648000 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 38043648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71974119360).

38043648000 is an abundant number, since it is smaller than the sum of its proper divisors (105904590720).

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

38043648000 is an frugal number, since it uses more digits than its factorization.

38043648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 38043648000 in words is "thirty-eight billion, forty-three million, six hundred forty-eight thousand".