3657472 has 72 divisors (see below), whose sum is σ = 9042656. Its totient is φ = 1437696.

The previous prime is 3657457. The next prime is 3657497. The reversal of 3657472 is 2747563.

It is a happy number.

3657472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 3⁹ + 6⁸ + 5⁹ + 7³ + 4⁴ + 7⁴ + 2¹¹ .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23218 + ... + 23374.

Almost surely, 2^3657472 is an apocalyptic number.

3657472 is a gapful number since it is divisible by the number (32) 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 3657472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4521328).

3657472 is an abundant number, since it is smaller than the sum of its proper divisors (5385184).

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

3657472 is a wasteful number, since it uses less digits than its factorization.

3657472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 179 counting only the distinct ones).

The product of its digits is 35280, while the sum is 34.

The square root of 3657472 is about 1912.4518294587. The cubic root of 3657472 is about 154.0731647620.

Subtracting from 3657472 its reverse (2747563), we obtain a palindrome (909909).

It can be divided in two parts, 365 and 7472, that multiplied together give a triangular number (2727280 = T₂₃₃₅).

The spelling of 3657472 in words is "three million, six hundred fifty-seven thousand, four hundred seventy-two".