3531332224 has 64 divisors (see below), whose sum is σ = 8052206400. Its totient is φ = 1511147520.

The previous prime is 3531332219. The next prime is 3531332249. The reversal of 3531332224 is 4222331353.

3531332224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3531332192 and 3531332201.

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, 679267 + ... + 684445.

It is an arithmetic number, because the mean of its divisors is an integer number (125815725).

Almost surely, 2^3531332224 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 3531332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026103200).

3531332224 is an abundant number, since it is smaller than the sum of its proper divisors (4520874176).

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

3531332224 is an equidigital number, since it uses as much as digits as its factorization.

3531332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5961 (or 5949 counting only the distinct ones).

The product of its digits is 12960, while the sum is 28.

The square root of 3531332224 is about 59425.0134539320. The cubic root of 3531332224 is about 1522.8116564367.

Adding to 3531332224 its reverse (4222331353), we get a palindrome (7753663577).

The spelling of 3531332224 in words is "three billion, five hundred thirty-one million, three hundred thirty-two thousand, two hundred twenty-four".