38049024 has 144 divisors (see below), whose sum is σ = 113090432. Its totient is φ = 11280384.

The previous prime is 38048993. The next prime is 38049029. The reversal of 38049024 is 42094083.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38048982 and 38049000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38049029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369357 + ... + 369459.

Almost surely, 2^38049024 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 38049024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56545216).

38049024 is an abundant number, since it is smaller than the sum of its proper divisors (75041408).

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

38049024 is a wasteful number, since it uses less digits than its factorization.

38049024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38049024 is about 6168.3890927859. The cubic root of 38049024 is about 336.3420552902.

The spelling of 38049024 in words is "thirty-eight million, forty-nine thousand, twenty-four".