3348385920 has 384 divisors, whose sum is σ = 12917361600. Its totient is φ = 792207360.

The previous prime is 3348385913. The next prime is 3348385949. The reversal of 3348385920 is 295838433.

3348385920 is a `hidden beast` number, since 3 + 3 + 483 + 85 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3348385920² = 22423376538508492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2723866 + ... + 2725094.

Almost surely, 2^3348385920 is an apocalyptic number.

3348385920 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 3348385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6458680800).

3348385920 is an abundant number, since it is smaller than the sum of its proper divisors (9568975680).

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

3348385920 is a wasteful number, since it uses less digits than its factorization.

3348385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3348385920 is about 57865.2393065129. The cubic root of 3348385920 is about 1496.0467637683.

The spelling of 3348385920 in words is "three billion, three hundred forty-eight million, three hundred eighty-five thousand, nine hundred twenty".