3348438912 has 576 divisors, whose sum is σ = 12591961200. Its totient is φ = 883104768.

The previous prime is 3348438889. The next prime is 3348438953. The reversal of 3348438912 is 2198348433.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3348438912² = 22424086294791487488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 257572218 + ... + 257572230.

Almost surely, 2^3348438912 is an apocalyptic number.

3348438912 is a gapful number since it is divisible by the number (32) 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 3348438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6295980600).

3348438912 is an abundant number, since it is smaller than the sum of its proper divisors (9243522288).

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

3348438912 is an frugal number, since it uses more digits than its factorization.

3348438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 25 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3348438912 is about 57865.6971961801. The cubic root of 3348438912 is about 1496.0546559383.

The spelling of 3348438912 in words is "three billion, three hundred forty-eight million, four hundred thirty-eight thousand, nine hundred twelve".