3434771816 has 64 divisors (see below), whose sum is σ = 7905840000. Its totient is φ = 1394547840.

The previous prime is 3434771801. The next prime is 3434771831. The reversal of 3434771816 is 6181774343.

It is an interprime number because it is at equal distance from previous prime (3434771801) and next prime (3434771831).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19196 + ... + 85076.

It is an arithmetic number, because the mean of its divisors is an integer number (123528750).

Almost surely, 2^3434771816 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 3434771816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952920000).

3434771816 is an abundant number, since it is smaller than the sum of its proper divisors (4471068184).

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

3434771816 is a wasteful number, since it uses less digits than its factorization.

3434771816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65927 (or 65909 counting only the distinct ones).

The product of its digits is 338688, while the sum is 44.

The square root of 3434771816 is about 58606.9263483421. The cubic root of 3434771816 is about 1508.8033171832.

The spelling of 3434771816 in words is "three billion, four hundred thirty-four million, seven hundred seventy-one thousand, eight hundred sixteen".