3735666 has 64 divisors (see below), whose sum is σ = 9561600. Its totient is φ = 1069200.

The previous prime is 3735661. The next prime is 3735671. The reversal of 3735666 is 6665373.

It is an interprime number because it is at equal distance from previous prime (3735661) and next prime (3735671).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3735666.

It is not an unprimeable number, because it can be changed into a prime (3735661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11121 + ... + 11451.

It is an arithmetic number, because the mean of its divisors is an integer number (149400).

Almost surely, 2^3735666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780800).

3735666 is an abundant number, since it is smaller than the sum of its proper divisors (5825934).

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

3735666 is a wasteful number, since it uses less digits than its factorization.

3735666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 3735666 is about 1932.7871067451. The cubic root of 3735666 is about 155.1634211187.

The spelling of 3735666 in words is "three million, seven hundred thirty-five thousand, six hundred sixty-six".