3348715344 has 240 divisors, whose sum is σ = 10168307520. Its totient is φ = 940861440.

The previous prime is 3348715339. The next prime is 3348715367. The reversal of 3348715344 is 4435178433.

3348715344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3348715344² = 22427788910282076672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3348715296 and 3348715305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40345927 + ... + 40346009.

It is an arithmetic number, because the mean of its divisors is an integer number (42367948).

Almost surely, 2^3348715344 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 3348715344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5084153760).

3348715344 is an abundant number, since it is smaller than the sum of its proper divisors (6819592176).

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

3348715344 is a wasteful number, since it uses less digits than its factorization.

3348715344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 161 counting only the distinct ones).

The product of its digits is 483840, while the sum is 42.

The square root of 3348715344 is about 57868.0857122473. The cubic root of 3348715344 is about 1496.0958239782.

The spelling of 3348715344 in words is "three billion, three hundred forty-eight million, seven hundred fifteen thousand, three hundred forty-four".