3906240 has 112 divisors (see below), whose sum is σ = 13399008. Its totient is φ = 958464.

The previous prime is 3906187. The next prime is 3906247. The reversal of 3906240 is 426093.

3906240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3906240.

It is not an unprimeable number, because it can be changed into a prime (3906247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12324 + ... + 12636.

It is an arithmetic number, because the mean of its divisors is an integer number (119634).

Almost surely, 2^3906240 is an apocalyptic number.

3906240 is a gapful number since it is divisible by the number (30) 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 3906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699504).

3906240 is an abundant number, since it is smaller than the sum of its proper divisors (9492768).

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

3906240 is a wasteful number, since it uses less digits than its factorization.

3906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3906240 is about 1976.4210077815. The cubic root of 3906240 is about 157.4899968452.

It can be divided in two parts, 390 and 6240, that multiplied together give a square (2433600 = 1560²).

The spelling of 3906240 in words is "three million, nine hundred six thousand, two hundred forty".