3464114720800 has 72 divisors (see below), whose sum is σ = 8461996678800. Its totient is φ = 1384789505280.

The previous prime is 3464114720797. The next prime is 3464114720887. The reversal of 3464114720800 is 80274114643.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42090 + ... + 2632489.

It is an arithmetic number, because the mean of its divisors is an integer number (117527731650).

Almost surely, 2^{3464114720800} 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 3464114720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4230998339400).

3464114720800 is an abundant number, since it is smaller than the sum of its proper divisors (4997881958000).

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

3464114720800 is a wasteful number, since it uses less digits than its factorization.

3464114720800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2676218 (or 2676205 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 3464114720800 in words is "three trillion, four hundred sixty-four billion, one hundred fourteen million, seven hundred twenty thousand, eight hundred".