3503764224 has 216 divisors, whose sum is σ = 10713830400. Its totient is φ = 1099284480.

The previous prime is 3503764223. The next prime is 3503764237. The reversal of 3503764224 is 4224673053.

3503764224 is a `hidden beast` number, since 3 + 5 + 0 + 3 + 7 + 642 + 2 + 4 = 666.

It is a super-3 number, since 3×3503764224³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3503764223) 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, 2738817 + ... + 2740095.

Almost surely, 2^3503764224 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 3503764224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356915200).

3503764224 is an abundant number, since it is smaller than the sum of its proper divisors (7210066176).

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

3503764224 is a wasteful number, since it uses less digits than its factorization.

3503764224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3503764224 is about 59192.6027810908. The cubic root of 3503764224 is about 1518.8385957360.

The spelling of 3503764224 in words is "three billion, five hundred three million, seven hundred sixty-four thousand, two hundred twenty-four".