3504256224 has 192 divisors, whose sum is σ = 10841402880. Its totient is φ = 970260480.

The previous prime is 3504256201. The next prime is 3504256243. The reversal of 3504256224 is 4226524053.

It is a happy number.

3504256224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5317207 + ... + 5317865.

It is an arithmetic number, because the mean of its divisors is an integer number (56465640).

Almost surely, 2^3504256224 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 3504256224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420701440).

3504256224 is an abundant number, since it is smaller than the sum of its proper divisors (7337146656).

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

3504256224 is a wasteful number, since it uses less digits than its factorization.

3504256224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 3504256224 is about 59196.7585599077. The cubic root of 3504256224 is about 1518.9096843869.

The spelling of 3504256224 in words is "three billion, five hundred four million, two hundred fifty-six thousand, two hundred twenty-four".