3504420224 has 64 divisors (see below), whose sum is σ = 7169359680. Its totient is φ = 1705267200.

The previous prime is 3504420223. The next prime is 3504420229. The reversal of 3504420224 is 4220244053.

It is a happy number.

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

It is a super-2 number, since 2×3504420224² = 24561922212760420352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3504420193 and 3504420202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504420223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3846329 + ... + 3847239.

It is an arithmetic number, because the mean of its divisors is an integer number (112021245).

Almost surely, 2^3504420224 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 3504420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584679840).

3504420224 is an abundant number, since it is smaller than the sum of its proper divisors (3664939456).

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

3504420224 is an equidigital number, since it uses as much as digits as its factorization.

3504420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1699 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 3504420224 is about 59198.1437546820. The cubic root of 3504420224 is about 1518.9333791252.

Adding to 3504420224 its reverse (4220244053), we get a palindrome (7724664277).

The spelling of 3504420224 in words is "three billion, five hundred four million, four hundred twenty thousand, two hundred twenty-four".