3504214224 has 200 divisors, whose sum is σ = 11829153600. Its totient is φ = 1001077056.

The previous prime is 3504214223. The next prime is 3504214229. The reversal of 3504214224 is 4224124053.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3504214223) 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 39 ways as a sum of consecutive naturals, for example, 440587 + ... + 448469.

It is an arithmetic number, because the mean of its divisors is an integer number (59145768).

Almost surely, 2^3504214224 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 3504214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914576800).

3504214224 is an abundant number, since it is smaller than the sum of its proper divisors (8324939376).

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

3504214224 is an equidigital number, since it uses as much as digits as its factorization.

3504214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7924 (or 7895 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 3504214224 is about 59196.4038096910. The cubic root of 3504214224 is about 1518.9036161033.

Adding to 3504214224 its reverse (4224124053), we get a palindrome (7728338277).

The spelling of 3504214224 in words is "three billion, five hundred four million, two hundred fourteen thousand, two hundred twenty-four".