3531264 has 120 divisors (see below), whose sum is σ = 10884720. Its totient is φ = 1013760.

The previous prime is 3531247. The next prime is 3531271. The reversal of 3531264 is 4621353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 3¹¹ + 5⁷ + 3¹³ + 1 + 2¹¹ + 6⁸ + 4 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 185847 + ... + 185865.

It is an arithmetic number, because the mean of its divisors is an integer number (90706).

Almost surely, 2^3531264 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 3531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442360).

3531264 is an abundant number, since it is smaller than the sum of its proper divisors (7353456).

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

3531264 is a wasteful number, since it uses less digits than its factorization.

3531264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 3531264 is about 1879.1657723575. The cubic root of 3531264 is about 152.2801849659.

The spelling of 3531264 in words is "three million, five hundred thirty-one thousand, two hundred sixty-four".