3496276224 has 648 divisors, whose sum is σ = 12892309248. Its totient is φ = 940584960.

The previous prime is 3496276181. The next prime is 3496276237. The reversal of 3496276224 is 4226726943.

It is a tau number, because it is divible by the number of its divisors (648).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3496276224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94493934 + ... + 94493970.

Almost surely, 2^3496276224 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 3496276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446154624).

3496276224 is an abundant number, since it is smaller than the sum of its proper divisors (9396033024).

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

3496276224 is an equidigital number, since it uses as much as digits as its factorization.

3496276224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 80 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3496276224 is about 59129.3178042839. The cubic root of 3496276224 is about 1517.7558388099.

The spelling of 3496276224 in words is "three billion, four hundred ninety-six million, two hundred seventy-six thousand, two hundred twenty-four".