3709536 has 48 divisors (see below), whose sum is σ = 10314864. Its totient is φ = 1163264.

The previous prime is 3709513. The next prime is 3709561. The reversal of 3709536 is 6359073.

3709536 = 638² + 639² + ... + 646².

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 3709497 and 3709506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 496 + ... + 2768.

It is an arithmetic number, because the mean of its divisors is an integer number (214893).

Almost surely, 2^3709536 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 3709536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157432).

3709536 is an abundant number, since it is smaller than the sum of its proper divisors (6605328).

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

3709536 is a wasteful number, since it uses less digits than its factorization.

3709536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2303 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 3709536 is about 1926.0155762610. The cubic root of 3709536 is about 154.8007985590.

The spelling of 3709536 in words is "three million, seven hundred nine thousand, five hundred thirty-six".