3468635136 has 440 divisors, whose sum is σ = 11413416960. Its totient is φ = 1045094400.

The previous prime is 3468635111. The next prime is 3468635153. The reversal of 3468635136 is 6315368643.

3468635136 is a `hidden beast` number, since 3 + 4 + 6 + 8 + 635 + 1 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3468635091 and 3468635100.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48853981 + ... + 48854051.

It is an arithmetic number, because the mean of its divisors is an integer number (25939584).

Almost surely, 2^3468635136 is an apocalyptic number.

3468635136 is a gapful number since it is divisible by the number (36) 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 3468635136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5706708480).

3468635136 is an abundant number, since it is smaller than the sum of its proper divisors (7944781824).

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

3468635136 is a wasteful number, since it uses less digits than its factorization.

3468635136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 126 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 3468635136 is about 58895.1197978237. The cubic root of 3468635136 is about 1513.7455275630.

The spelling of 3468635136 in words is "three billion, four hundred sixty-eight million, six hundred thirty-five thousand, one hundred thirty-six".