3348364864 has 56 divisors (see below), whose sum is σ = 7163199288. Its totient is φ = 1543741440.

The previous prime is 3348364843. The next prime is 3348364879. The reversal of 3348364864 is 4684638433.

It can be written as a sum of positive squares in 4 ways, for example, as 77440000 + 3270924864 = 8800^2 + 57192^2 .

It is a super-2 number, since 2×3348364864² = 22423094524939476992, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 1130874 + ... + 1133830.

It is an arithmetic number, because the mean of its divisors is an integer number (127914273).

Almost surely, 2^3348364864 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 3348364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3581599644).

3348364864 is an abundant number, since it is smaller than the sum of its proper divisors (3814834424).

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

3348364864 is a wasteful number, since it uses less digits than its factorization.

3348364864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4343 (or 4333 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 49.

The square root of 3348364864 is about 57865.0573662552. The cubic root of 3348364864 is about 1496.0436278468.

The spelling of 3348364864 in words is "three billion, three hundred forty-eight million, three hundred sixty-four thousand, eight hundred sixty-four".