3536960 has 56 divisors (see below), whose sum is σ = 9631680. Its totient is φ = 1211904.

The previous prime is 3536959. The next prime is 3536977. The reversal of 3536960 is 696353.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 1451 + ... + 3029.

Almost surely, 2^3536960 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 3536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815840).

3536960 is an abundant number, since it is smaller than the sum of its proper divisors (6094720).

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

3536960 is a wasteful number, since it uses less digits than its factorization.

3536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 32.

The square root of 3536960 is about 1880.6807278217. The cubic root of 3536960 is about 152.3620179847.

The spelling of 3536960 in words is "three million, five hundred thirty-six thousand, nine hundred sixty".