3341679264 has 648 divisors, whose sum is σ = 12914385120. Its totient is φ = 814302720.

The previous prime is 3341679241. The next prime is 3341679277. The reversal of 3341679264 is 4629761433.

It is a super-2 number, since 2×3341679264² = 22333640606895163392, which contains 22 as substring.

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

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 107 ways as a sum of consecutive naturals, for example, 32443437 + ... + 32443539.

Almost surely, 2^3341679264 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 3341679264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457192560).

3341679264 is an abundant number, since it is smaller than the sum of its proper divisors (9572705856).

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

3341679264 is a wasteful number, since it uses less digits than its factorization.

3341679264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3341679264 is about 57807.2596133046. The cubic root of 3341679264 is about 1495.0472595732.

The spelling of 3341679264 in words is "three billion, three hundred forty-one million, six hundred seventy-nine thousand, two hundred sixty-four".