3726540 has 96 divisors (see below), whose sum is σ = 11880960. Its totient is φ = 969408.

The previous prime is 3726539. The next prime is 3726559. The reversal of 3726540 is 456273.

It is a happy number.

3726540 is a `hidden beast` number, since 3 + 7 + 2 + 654 + 0 = 666.

3726540 is nontrivially palindromic in base 14.

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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36129 + ... + 36231.

It is an arithmetic number, because the mean of its divisors is an integer number (123760).

Almost surely, 2^3726540 is an apocalyptic number.

3726540 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 3726540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5940480).

3726540 is an abundant number, since it is smaller than the sum of its proper divisors (8154420).

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

3726540 is a wasteful number, since it uses less digits than its factorization.

3726540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

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

The square root of 3726540 is about 1930.4248237111. The cubic root of 3726540 is about 155.0369665559.

The spelling of 3726540 in words is "three million, seven hundred twenty-six thousand, five hundred forty".