3434428816 has 225 divisors, whose sum is σ = 8787210369. Its totient is φ = 1299602304.

The previous prime is 3434428783. The next prime is 3434428831. The reversal of 3434428816 is 6188244343.

The square root of 3434428816 is 58604.

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

It can be written as a sum of positive squares in only one way, i.e., 508051600 + 2926377216 = 22540^2 + 54096^2 .

Its product of digits (442368) is a multiple of the sum of its prime factors (108).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 149322981 + ... + 149323003.

Almost surely, 2^3434428816 is an apocalyptic number.

3434428816 is the 58604-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434428816

3434428816 is an abundant number, since it is smaller than the sum of its proper divisors (5352781553).

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

3434428816 is an equidigital number, since it uses as much as digits as its factorization.

3434428816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 45 counting only the distinct ones).

The product of its digits is 442368, while the sum is 43.

The cubic root of 3434428816 is about 1508.7530919384.

The spelling of 3434428816 in words is "three billion, four hundred thirty-four million, four hundred twenty-eight thousand, eight hundred sixteen".