3519864 has 96 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 1062720.

The previous prime is 3519863. The next prime is 3519869. The reversal of 3519864 is 4689153.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3519863) 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 23 ways as a sum of consecutive naturals, for example, 42367 + ... + 42449.

It is an arithmetic number, because the mean of its divisors is an integer number (109200).

Almost surely, 2^3519864 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 3519864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

3519864 is an abundant number, since it is smaller than the sum of its proper divisors (6963336).

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

3519864 is a wasteful number, since it uses less digits than its factorization.

3519864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 138 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3519864 is about 1876.1300594575. The cubic root of 3519864 is about 152.1161393085.

The spelling of 3519864 in words is "three million, five hundred nineteen thousand, eight hundred sixty-four".