3436766704 has 80 divisors (see below), whose sum is σ = 7864576000. Its totient is φ = 1454072256.

The previous prime is 3436766689. The next prime is 3436766717. The reversal of 3436766704 is 4076676343.

It is a super-2 number, since 2×3436766704² = 23622730755446047232, which contains 22 as substring.

It is a congruent number.

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, 429589 + ... + 437515.

It is an arithmetic number, because the mean of its divisors is an integer number (98307200).

Almost surely, 2^3436766704 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 3436766704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932288000).

3436766704 is an abundant number, since it is smaller than the sum of its proper divisors (4427809296).

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

3436766704 is an equidigital number, since it uses as much as digits as its factorization.

3436766704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8035 (or 8015 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 46.

The square root of 3436766704 is about 58623.9430949505. The cubic root of 3436766704 is about 1509.0953609514.

The spelling of 3436766704 in words is "three billion, four hundred thirty-six million, seven hundred sixty-six thousand, seven hundred four".