3531360 has 96 divisors (see below), whose sum is σ = 12724992. Its totient is φ = 806400.

The previous prime is 3531347. The next prime is 3531361. The reversal of 3531360 is 631353.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3531361) 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, 2835 + ... + 3885.

It is an arithmetic number, because the mean of its divisors is an integer number (132552).

Almost surely, 2^3531360 is an apocalyptic number.

3531360 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3531360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362496).

3531360 is an abundant number, since it is smaller than the sum of its proper divisors (9193632).

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

3531360 is a wasteful number, since it uses less digits than its factorization.

3531360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 3531360 is about 1879.1913154333. The cubic root of 3531360 is about 152.2815649029.

The spelling of 3531360 in words is "three million, five hundred thirty-one thousand, three hundred sixty".