3873744 has 150 divisors (see below), whose sum is σ = 13256034. Its totient is φ = 1088640.

The previous prime is 3873743. The next prime is 3873767. The reversal of 3873744 is 4473783.

It can be written as a sum of positive squares in only one way, i.e., 2286144 + 1587600 = 1512^2 + 1260^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 3¹¹ + 8⁷ + 7⁴ + 3¹³ + 7⁴ + 4³ + 4⁴ .

It is a junction number, because it is equal to n+sod(n) for n = 3873699 and 3873708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873743) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63474 + ... + 63534.

Almost surely, 2^3873744 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 3873744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628017).

3873744 is an abundant number, since it is smaller than the sum of its proper divisors (9382290).

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

3873744 is a wasteful number, since it uses less digits than its factorization.

3873744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 73 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 3873744 is about 1968.1829183285. The cubic root of 3873744 is about 157.0520605745.

It can be divided in two parts, 38737 and 44, that added together give a triangular number (38781 = T₂₇₈).

The spelling of 3873744 in words is "three million, eight hundred seventy-three thousand, seven hundred forty-four".