3536736 has 96 divisors (see below), whose sum is σ = 11208960. Its totient is φ = 953856.

The previous prime is 3536699. The next prime is 3536737. The reversal of 3536736 is 6376353.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3536697 and 3536706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3536737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12630 + ... + 12906.

It is an arithmetic number, because the mean of its divisors is an integer number (116760).

Almost surely, 2^3536736 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 3536736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604480).

3536736 is an abundant number, since it is smaller than the sum of its proper divisors (7672224).

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

3536736 is a wasteful number, since it uses less digits than its factorization.

3536736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its digits is 34020, while the sum is 33.

The square root of 3536736 is about 1880.6211739742. The cubic root of 3536736 is about 152.3588014925.

The spelling of 3536736 in words is "three million, five hundred thirty-six thousand, seven hundred thirty-six".