3434839502224 has 135 divisors (see below), whose sum is σ = 7469443046793. Its totient is φ = 1529399219712.

The previous prime is 3434839502219. The next prime is 3434839502261. The reversal of 3434839502224 is 4222059384343.

The square root of 3434839502224 is 1853332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 733523731600 + 2701315770624 = 856460^2 + 1643568^2 .

It is a super-2 number, since 2×3434839502224² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2794824042 + ... + 2794825270.

Almost surely, 2^{3434839502224} is an apocalyptic number.

3434839502224 is the 1853332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434839502224

3434839502224 is an abundant number, since it is smaller than the sum of its proper divisors (4034603544569).

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

3434839502224 is an equidigital number, since it uses as much as digits as its factorization.

3434839502224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 49.

Multiplying 3434839502224 by its sum of digits (49), we get a square (168307135608976 = 12973324²).

The spelling of 3434839502224 in words is "three trillion, four hundred thirty-four billion, eight hundred thirty-nine million, five hundred two thousand, two hundred twenty-four".