4038048 has 72 divisors (see below), whose sum is σ = 13130208. Its totient is φ = 1153152.

The previous prime is 4038043. The next prime is 4038053. The reversal of 4038048 is 8408304.

4038048 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4038043) and next prime (4038053).

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (4038043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1015 + ... + 3017.

It is an arithmetic number, because the mean of its divisors is an integer number (182364).

Almost surely, 2^4038048 is an apocalyptic number.

4038048 is a gapful number since it is divisible by the number (48) 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 4038048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565104).

4038048 is an abundant number, since it is smaller than the sum of its proper divisors (9092160).

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

4038048 is a wasteful number, since it uses less digits than its factorization.

4038048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4038048 is about 2009.4894874072. The cubic root of 4038048 is about 159.2418297026.

The spelling of 4038048 in words is "four million, thirty-eight thousand, forty-eight".