3985344 has 168 divisors, whose sum is σ = 13551408. Its totient is φ = 1105920.

The previous prime is 3985337. The next prime is 3985349. The reversal of 3985344 is 4435893.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3985299 and 3985308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3985349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107694 + ... + 107730.

Almost surely, 2^3985344 is an apocalyptic number.

3985344 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 3985344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775704).

3985344 is an abundant number, since it is smaller than the sum of its proper divisors (9566064).

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

3985344 is a wasteful number, since it uses less digits than its factorization.

3985344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3985344 is about 1996.3326376133. The cubic root of 3985344 is about 158.5459933463.

The spelling of 3985344 in words is "three million, nine hundred eighty-five thousand, three hundred forty-four".