3735660 has 48 divisors (see below), whose sum is σ = 10918656. Its totient is φ = 952512.

The previous prime is 3735653. The next prime is 3735661. The reversal of 3735660 is 665373.

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

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 15 ways as a sum of consecutive naturals, for example, 27 + ... + 2733.

It is an arithmetic number, because the mean of its divisors is an integer number (227472).

Almost surely, 2^3735660 is an apocalyptic number.

3735660 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 3735660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5459328).

3735660 is an abundant number, since it is smaller than the sum of its proper divisors (7182996).

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

3735660 is a wasteful number, since it uses less digits than its factorization.

3735660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2742 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 30.

The square root of 3735660 is about 1932.7855545818. The cubic root of 3735660 is about 155.1633380473.

The spelling of 3735660 in words is "three million, seven hundred thirty-five thousand, six hundred sixty".