3506272224 has 192 divisors, whose sum is σ = 11560550400. Its totient is φ = 924618240.

The previous prime is 3506272201. The next prime is 3506272241. The reversal of 3506272224 is 4222726053.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423969 + ... + 432159.

It is an arithmetic number, because the mean of its divisors is an integer number (60211200).

Almost surely, 2^3506272224 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 3506272224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780275200).

3506272224 is an abundant number, since it is smaller than the sum of its proper divisors (8054278176).

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

3506272224 is a wasteful number, since it uses less digits than its factorization.

3506272224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8238 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 3506272224 is about 59213.7840709408. The cubic root of 3506272224 is about 1519.2009049962.

Adding to 3506272224 its reverse (4222726053), we get a palindrome (7728998277).

The spelling of 3506272224 in words is "three billion, five hundred six million, two hundred seventy-two thousand, two hundred twenty-four".