3503225088 has 432 divisors, whose sum is σ = 11984184576. Its totient is φ = 972226560.

The previous prime is 3503225087. The next prime is 3503225119. The reversal of 3503225088 is 8805223053.

3503225088 is a `hidden beast` number, since 3 + 503 + 22 + 50 + 88 = 666.

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 (3503225081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20249770 + ... + 20249942.

It is an arithmetic number, because the mean of its divisors is an integer number (27741168).

Almost surely, 2^3503225088 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 3503225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992092288).

3503225088 is an abundant number, since it is smaller than the sum of its proper divisors (8480959488).

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

3503225088 is a wasteful number, since it uses less digits than its factorization.

3503225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3503225088 is about 59188.0485233294. The cubic root of 3503225088 is about 1518.7606888035.

The spelling of 3503225088 in words is "three billion, five hundred three million, two hundred twenty-five thousand, eighty-eight".