4035840 has 72 divisors (see below), whose sum is σ = 12901728. Its totient is φ = 1075200.

The previous prime is 4035839. The next prime is 4035841. The reversal of 4035840 is 485304.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4035839) and next prime (4035841).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 4⁶ + 0 + 3¹³ + 5⁷ + 8⁷ + 4⁹ + 0 .

It is a self number, because there is not a number n which added to its sum of digits gives 4035840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4035841) 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, 3315 + ... + 4365.

Almost surely, 2^4035840 is an apocalyptic number.

4035840 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 4035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6450864).

4035840 is an abundant number, since it is smaller than the sum of its proper divisors (8865888).

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

4035840 is a wasteful number, since it uses less digits than its factorization.

4035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4035840 is about 2008.9400190150. The cubic root of 4035840 is about 159.2127999944.

The spelling of 4035840 in words is "four million, thirty-five thousand, eight hundred forty".