4038960 has 40 divisors (see below), whose sum is σ = 12521520. Its totient is φ = 1076992.

The previous prime is 4038953. The next prime is 4038967. The reversal of 4038960 is 698304.

It is an interprime number because it is at equal distance from previous prime (4038953) and next prime (4038967).

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (4038967) 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, 8175 + ... + 8654.

It is an arithmetic number, because the mean of its divisors is an integer number (313038).

Almost surely, 2^4038960 is an apocalyptic number.

4038960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4038960 is an abundant number, since it is smaller than the sum of its proper divisors (8482560).

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

4038960 is a wasteful number, since it uses less digits than its factorization.

4038960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16845 (or 16839 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4038960 is about 2009.7163979029. The cubic root of 4038960 is about 159.2538171461.

The spelling of 4038960 in words is "four million, thirty-eight thousand, nine hundred sixty".