3468670128 has 200 divisors, whose sum is σ = 12516936960. Its totient is φ = 900927360.

The previous prime is 3468670103. The next prime is 3468670189. The reversal of 3468670128 is 8210768643.

3468670128 is a `hidden beast` number, since 3 + 468 + 67 + 0 + 128 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82413 + ... + 117171.

Almost surely, 2^3468670128 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 3468670128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258468480).

3468670128 is an abundant number, since it is smaller than the sum of its proper divisors (9048266832).

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

3468670128 is a wasteful number, since it uses less digits than its factorization.

3468670128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34797 (or 34782 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3468670128 is about 58895.4168675288. The cubic root of 3468670128 is about 1513.7506178270.

The spelling of 3468670128 in words is "three billion, four hundred sixty-eight million, six hundred seventy thousand, one hundred twenty-eight".