3735956 has 30 divisors (see below), whose sum is σ = 7646730. Its totient is φ = 1597008.

The previous prime is 3735943. The next prime is 3735967. The reversal of 3735956 is 6595373.

It can be written as a sum of positive squares in only one way, i.e., 2775556 + 960400 = 1666^2 + 980^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9410 + ... + 9798.

It is an arithmetic number, because the mean of its divisors is an integer number (254891).

Almost surely, 2^3735956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3823365).

3735956 is an abundant number, since it is smaller than the sum of its proper divisors (3910774).

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

3735956 is an equidigital number, since it uses as much as digits as its factorization.

3735956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 398 counting only the distinct ones).

The product of its digits is 85050, while the sum is 38.

The square root of 3735956 is about 1932.8621264850. The cubic root of 3735956 is about 155.1674361304.

The spelling of 3735956 in words is "three million, seven hundred thirty-five thousand, nine hundred fifty-six".