3463111008 has 144 divisors (see below), whose sum is σ = 11423543040. Its totient is φ = 974654208.

The previous prime is 3463110997. The next prime is 3463111027. The reversal of 3463111008 is 8001113643.

3463111008 is a `hidden beast` number, since 346 + 311 + 1 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×3463111008³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122253 + ... + 147891.

It is an arithmetic number, because the mean of its divisors is an integer number (79330160).

Almost surely, 2^3463111008 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 3463111008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5711771520).

3463111008 is an abundant number, since it is smaller than the sum of its proper divisors (7960432032).

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

3463111008 is a wasteful number, since it uses less digits than its factorization.

3463111008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25729 (or 25718 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3463111008 is about 58848.2030991601. The cubic root of 3463111008 is about 1512.9415064987.

The spelling of 3463111008 in words is "three billion, four hundred sixty-three million, one hundred eleven thousand, eight".