3735966 has 32 divisors (see below), whose sum is σ = 8120448. Its totient is φ = 1139040.

The previous prime is 3735943. The next prime is 3735967. The reversal of 3735966 is 6695373.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735967) 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, 16345 + ... + 16571.

It is an arithmetic number, because the mean of its divisors is an integer number (253764).

Almost surely, 2^3735966 is an apocalyptic number.

3735966 is an abundant number, since it is smaller than the sum of its proper divisors (4384482).

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

3735966 is a wasteful number, since it uses less digits than its factorization.

3735966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its digits is 102060, while the sum is 39.

The square root of 3735966 is about 1932.8647133206. The cubic root of 3735966 is about 155.1675745754.

The spelling of 3735966 in words is "three million, seven hundred thirty-five thousand, nine hundred sixty-six".