38481024 has 64 divisors (see below), whose sum is σ = 106683840. Its totient is φ = 12266496.

The previous prime is 38480993. The next prime is 38481029. The reversal of 38481024 is 42018483.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 38480982 and 38481000.

It is not an unprimeable number, because it can be changed into a prime (38481029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6654 + ... + 11010.

It is an arithmetic number, because the mean of its divisors is an integer number (1666935).

Almost surely, 2^38481024 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 38481024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53341920).

38481024 is an abundant number, since it is smaller than the sum of its proper divisors (68202816).

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

38481024 is a wasteful number, since it uses less digits than its factorization.

38481024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4397 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 38481024 is about 6203.3075048719. The cubic root of 38481024 is about 337.6101851483.

The spelling of 38481024 in words is "thirty-eight million, four hundred eighty-one thousand, twenty-four".