3348749664 has 72 divisors (see below), whose sum is σ = 10255557312. Its totient is φ = 1030383360.

The previous prime is 3348749647. The next prime is 3348749681. The reversal of 3348749664 is 4669478433.

It is an interprime number because it is at equal distance from previous prime (3348749647) and next prime (3348749681).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3348749664² = 22428248624280225792, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3348749664.

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 11 ways as a sum of consecutive naturals, for example, 443472 + ... + 450959.

It is an arithmetic number, because the mean of its divisors is an integer number (142438296).

Almost surely, 2^3348749664 is an apocalyptic number.

It is an amenable number.

3348749664 is an abundant number, since it is smaller than the sum of its proper divisors (6906807648).

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

3348749664 is a wasteful number, since it uses less digits than its factorization.

3348749664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894460 (or 894449 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 3348749664 is about 57868.3822479945. The cubic root of 3348749664 is about 1496.1009349763.

The spelling of 3348749664 in words is "three billion, three hundred forty-eight million, seven hundred forty-nine thousand, six hundred sixty-four".