3468856104 has 224 divisors, whose sum is σ = 11508503040. Its totient is φ = 958780800.

The previous prime is 3468856093. The next prime is 3468856117. The reversal of 3468856104 is 4016588643.

3468856104 is a `hidden beast` number, since 3 + 4 + 6 + 88 + 561 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3468856104.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1264174 + ... + 1266914.

Almost surely, 2^3468856104 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 3468856104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5754251520).

3468856104 is an abundant number, since it is smaller than the sum of its proper divisors (8039646936).

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

3468856104 is a wasteful number, since it uses less digits than its factorization.

3468856104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3468856104 is about 58896.9957128545. The cubic root of 3468856104 is about 1513.7776710629. Note that the first 3 decimals are identical.

The spelling of 3468856104 in words is "three billion, four hundred sixty-eight million, eight hundred fifty-six thousand, one hundred four".