3468638628 has 72 divisors (see below), whose sum is σ = 10791330368. Its totient is φ = 914804928.

The previous prime is 3468638623. The next prime is 3468638633. The reversal of 3468638628 is 8268368643.

It is a happy number.

3468638628 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 6 + 3 + 8 + 628 = 666.

It is an interprime number because it is at equal distance from previous prime (3468638623) and next prime (3468638633).

It is not an unprimeable number, because it can be changed into a prime (3468638623) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 526126 + ... + 532677.

Almost surely, 2^3468638628 is an apocalyptic number.

It is an amenable number.

3468638628 is an abundant number, since it is smaller than the sum of its proper divisors (7322691740).

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

3468638628 is a wasteful number, since it uses less digits than its factorization.

3468638628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058833 (or 1058828 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 3468638628 is about 58895.1494437360. The cubic root of 3468638628 is about 1513.7460355436.

The spelling of 3468638628 in words is "three billion, four hundred sixty-eight million, six hundred thirty-eight thousand, six hundred twenty-eight".