4038920 has 32 divisors (see below), whose sum is σ = 9336600. Its totient is φ = 1571328.

The previous prime is 4038907. The next prime is 4038949. The reversal of 4038920 is 298304.

It can be written as a sum of positive squares in 4 ways, for example, as 4024036 + 14884 = 2006^2 + 122^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4038920.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116 + ... + 2844.

Almost surely, 2^4038920 is an apocalyptic number.

4038920 is a gapful number since it is divisible by the number (40) 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 4038920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4668300).

4038920 is an abundant number, since it is smaller than the sum of its proper divisors (5297680).

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

4038920 is a wasteful number, since it uses less digits than its factorization.

4038920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 4038920 is about 2009.7064462254. The cubic root of 4038920 is about 159.2532914188.

The spelling of 4038920 in words is "four million, thirty-eight thousand, nine hundred twenty".