3958144 has 48 divisors (see below), whose sum is σ = 8454780. Its totient is φ = 1845248.

The previous prime is 3958109. The next prime is 3958147. The reversal of 3958144 is 4418593.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3958147) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36939 + ... + 37045.

Almost surely, 2^3958144 is an apocalyptic number.

3958144 is a gapful number since it is divisible by the number (34) 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 3958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4227390).

3958144 is an abundant number, since it is smaller than the sum of its proper divisors (4496636).

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

3958144 is a wasteful number, since it uses less digits than its factorization.

3958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 3958144 is about 1989.5084820126. The cubic root of 3958144 is about 158.1844771490.

The spelling of 3958144 in words is "three million, nine hundred fifty-eight thousand, one hundred forty-four".