3835744 has 48 divisors (see below), whose sum is σ = 8736336. Its totient is φ = 1638400.

The previous prime is 3835697. The next prime is 3835747. The reversal of 3835744 is 4475383.

It is a happy number.

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

It is a d-powerful number, because it can be written as 3² + 8⁷ + 3¹³ + 5⁷ + 7³ + 4⁴ + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835747) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5664 + ... + 6304.

It is an arithmetic number, because the mean of its divisors is an integer number (182007).

Almost surely, 2^3835744 is an apocalyptic number.

3835744 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 3835744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4368168).

3835744 is an abundant number, since it is smaller than the sum of its proper divisors (4900592).

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

3835744 is a wasteful number, since it uses less digits than its factorization.

3835744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 3835744 is about 1958.5055527110. The cubic root of 3835744 is about 156.5368312161.

The spelling of 3835744 in words is "three million, eight hundred thirty-five thousand, seven hundred forty-four".