3741504 has 56 divisors (see below), whose sum is σ = 10668000. Its totient is φ = 1150464.

The previous prime is 3741497. The next prime is 3741523. The reversal of 3741504 is 4051473.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1747 + ... + 3245.

It is an arithmetic number, because the mean of its divisors is an integer number (190500).

Almost surely, 2^3741504 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 3741504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5334000).

3741504 is an abundant number, since it is smaller than the sum of its proper divisors (6926496).

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

3741504 is a wasteful number, since it uses less digits than its factorization.

3741504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 3741504 is about 1934.2967714392. The cubic root of 3741504 is about 155.2442074796.

Subtracting from 3741504 its sum of digits (24), we obtain a triangular number (3741480 = T₂₇₃₅).

Adding to 3741504 its reverse (4051473), we get a palindrome (7792977).

The spelling of 3741504 in words is "three million, seven hundred forty-one thousand, five hundred four".