3672540 has 60 divisors (see below), whose sum is σ = 11525976. Its totient is φ = 978912.

The previous prime is 3672521. The next prime is 3672541. The reversal of 3672540 is 452763.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672541) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 487 + ... + 2753.

Almost surely, 2^3672540 is an apocalyptic number.

3672540 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 3672540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762988).

3672540 is an abundant number, since it is smaller than the sum of its proper divisors (7853436).

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

3672540 is a wasteful number, since it uses less digits than its factorization.

3672540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3672540 is about 1916.3872260063. The cubic root of 3672540 is about 154.2844576617.

The spelling of 3672540 in words is "three million, six hundred seventy-two thousand, five hundred forty".