3348316440 has 192 divisors, whose sum is σ = 12897480960. Its totient is φ = 765313920.

The previous prime is 3348316429. The next prime is 3348316441. The reversal of 3348316440 is 446138433.

It is a happy number.

3348316440 is a `hidden beast` number, since 3 + 3 + 4 + 8 + 3 + 1 + 644 + 0 = 666.

It is a super-2 number, since 2×3348316440² = 22422445964748547200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3348316395 and 3348316404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3348316441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43435 + ... + 92645.

It is an arithmetic number, because the mean of its divisors is an integer number (67174380).

Almost surely, 2^3348316440 is an apocalyptic number.

3348316440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3348316440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448740480).

3348316440 is an abundant number, since it is smaller than the sum of its proper divisors (9549164520).

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

3348316440 is a wasteful number, since it uses less digits than its factorization.

3348316440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49244 (or 49228 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3348316440 is about 57864.6389429676. The cubic root of 3348316440 is about 1496.0364158922.

The spelling of 3348316440 in words is "three billion, three hundred forty-eight million, three hundred sixteen thousand, four hundred forty".