4038090 has 96 divisors (see below), whose sum is σ = 11721024. Its totient is φ = 887040.

The previous prime is 4038079. The next prime is 4038113. The reversal of 4038090 is 908304.

It is a self number, because there is not a number n which added to its sum of digits gives 4038090.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60237 + ... + 60303.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

Almost surely, 2^4038090 is an apocalyptic number.

It is a pronic number, being equal to 2009×2010.

It is a practical number, because each smaller number is the sum of distinct divisors of 4038090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860512).

4038090 is an abundant number, since it is smaller than the sum of its proper divisors (7682934).

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

4038090 is a wasteful number, since it uses less digits than its factorization.

4038090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4038090 is about 2009.4999377955. The cubic root of 4038090 is about 159.2423817955.

It can be divided in two parts, 40380 and 90, that added together give a triangular number (40470 = T₂₈₄).

The spelling of 4038090 in words is "four million, thirty-eight thousand, ninety".