3735540 has 36 divisors (see below), whose sum is σ = 11331684. Its totient is φ = 996096.

The previous prime is 3735527. The next prime is 3735541. The reversal of 3735540 is 455373.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1245456 + 2490084 = 1116^2 + 1578^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10197 + ... + 10556.

It is an arithmetic number, because the mean of its divisors is an integer number (314769).

Almost surely, 2^3735540 is an apocalyptic number.

3735540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3735540 is an abundant number, since it is smaller than the sum of its proper divisors (7596144).

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

3735540 is a wasteful number, since it uses less digits than its factorization.

3735540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20768 (or 20763 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 3735540 is about 1932.7545110541. The cubic root of 3735540 is about 155.1616766006.

The spelling of 3735540 in words is "three million, seven hundred thirty-five thousand, five hundred forty".