3657540 has 48 divisors (see below), whose sum is σ = 10467072. Its totient is φ = 953856.

The previous prime is 3657539. The next prime is 3657547. The reversal of 3657540 is 457563.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3657498 and 3657507.

It is not an unprimeable number, because it can be changed into a prime (3657547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2172 + ... + 3468.

It is an arithmetic number, because the mean of its divisors is an integer number (218064).

Almost surely, 2^3657540 is an apocalyptic number.

3657540 is a gapful number since it is divisible by the number (30) 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 3657540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5233536).

3657540 is an abundant number, since it is smaller than the sum of its proper divisors (6809532).

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

3657540 is a wasteful number, since it uses less digits than its factorization.

3657540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 3657540 is about 1912.4696076016. The cubic root of 3657540 is about 154.0741196027.

The spelling of 3657540 in words is "three million, six hundred fifty-seven thousand, five hundred forty".