3906144 has 120 divisors (see below), whose sum is σ = 12623688. Its totient is φ = 1175040.

The previous prime is 3906137. The next prime is 3906151. The reversal of 3906144 is 4416093.

3906144 = T₁₆₇ + T₁₆₈ + ... + T₃₀₃.

3906144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3906137) and next prime (3906151).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 28444 + ... + 28580.

Almost surely, 2^3906144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311844).

3906144 is an abundant number, since it is smaller than the sum of its proper divisors (8717544).

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

3906144 is a wasteful number, since it uses less digits than its factorization.

3906144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3906144 is about 1976.3967213088. The cubic root of 3906144 is about 157.4887066732.

The spelling of 3906144 in words is "three million, nine hundred six thousand, one hundred forty-four".