3468834672 has 80 divisors (see below), whose sum is σ = 9134415360. Its totient is φ = 1134016000.

The previous prime is 3468834641. The next prime is 3468834679. The reversal of 3468834672 is 2764388643.

3468834672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3468834679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1474297 + ... + 1476647.

It is an arithmetic number, because the mean of its divisors is an integer number (114180192).

Almost surely, 2^3468834672 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 3468834672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567207680).

3468834672 is an abundant number, since it is smaller than the sum of its proper divisors (5665580688).

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

3468834672 is a wasteful number, since it uses less digits than its factorization.

3468834672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2936 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The square root of 3468834672 is about 58896.8137678092. The cubic root of 3468834672 is about 1513.7745534790.

The spelling of 3468834672 in words is "three billion, four hundred sixty-eight million, eight hundred thirty-four thousand, six hundred seventy-two".