3348952128 has 336 divisors, whose sum is σ = 10784067840. Its totient is φ = 1026514944.

The previous prime is 3348952109. The next prime is 3348952151. The reversal of 3348952128 is 8212598433.

3348952128 is a `hidden beast` number, since 3 + 348 + 95 + 212 + 8 = 666.

It is a super-2 number, since 2×3348952128² = 22430960711271456768, which contains 22 as substring.

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, 14012233 + ... + 14012471.

It is an arithmetic number, because the mean of its divisors is an integer number (32095440).

Almost surely, 2^3348952128 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 3348952128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5392033920).

3348952128 is an abundant number, since it is smaller than the sum of its proper divisors (7435115712).

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

3348952128 is a wasteful number, since it uses less digits than its factorization.

3348952128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 314 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3348952128 is about 57870.1315706125. The cubic root of 3348952128 is about 1496.1310855803.

The spelling of 3348952128 in words is "three billion, three hundred forty-eight million, nine hundred fifty-two thousand, one hundred twenty-eight".