3468107620 has 48 divisors (see below), whose sum is σ = 7693862400. Its totient is φ = 1309512960.

The previous prime is 3468107567. The next prime is 3468107633. The reversal of 3468107620 is 267018643.

It is a self number, because there is not a number n which added to its sum of digits gives 3468107620.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 90541 + ... + 123019.

It is an arithmetic number, because the mean of its divisors is an integer number (160288800).

Almost surely, 2^3468107620 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 3468107620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846931200).

3468107620 is an abundant number, since it is smaller than the sum of its proper divisors (4225754780).

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

3468107620 is a wasteful number, since it uses less digits than its factorization.

3468107620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32788 (or 32786 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 3468107620 is about 58890.6411919585. The cubic root of 3468107620 is about 1513.6687859977.

The spelling of 3468107620 in words is "three billion, four hundred sixty-eight million, one hundred seven thousand, six hundred twenty".