38049183744000 has 2880 divisors, whose sum is σ = 155941208457216. Its totient is φ = 8174960640000.

The previous prime is 38049183743999. The next prime is 38049183744001. The reversal of 38049183744000 is 44738194083.

It is an interprime number because it is at equal distance from previous prime (38049183743999) and next prime (38049183744001).

It is not an unprimeable number, because it can be changed into a prime (38049183744001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 299599871937 + ... + 299599872063.

Almost surely, 2^{38049183744000} is an apocalyptic number.

38049183744000 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 38049183744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77970604228608).

38049183744000 is an abundant number, since it is smaller than the sum of its proper divisors (117892024713216).

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

38049183744000 is a wasteful number, since it uses less digits than its factorization.

38049183744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 38049183744000 in words is "thirty-eight trillion, forty-nine billion, one hundred eighty-three million, seven hundred forty-four thousand".