3742944 has 48 divisors (see below), whose sum is σ = 9934848. Its totient is φ = 1233792.

The previous prime is 3742933. The next prime is 3742961. The reversal of 3742944 is 4492473.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12039 + ... + 12345.

It is an arithmetic number, because the mean of its divisors is an integer number (206976).

Almost surely, 2^3742944 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 3742944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967424).

3742944 is an abundant number, since it is smaller than the sum of its proper divisors (6191904).

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

3742944 is a wasteful number, since it uses less digits than its factorization.

3742944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 439 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 3742944 is about 1934.6689639316. The cubic root of 3742944 is about 155.2641213062.

It can be divided in two parts, 37429 and 44, that added together give a palindrome (37473).

The spelling of 3742944 in words is "three million, seven hundred forty-two thousand, nine hundred forty-four".