3464181280672 has 96 divisors (see below), whose sum is σ = 7819897075200. Its totient is φ = 1479800894208.

The previous prime is 3464181280649. The next prime is 3464181280723. The reversal of 3464181280672 is 2760821814643.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101100279 + ... + 101134537.

It is an arithmetic number, because the mean of its divisors is an integer number (81457261200).

Almost surely, 2^{3464181280672} is an apocalyptic number.

3464181280672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3464181280672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3909948537600).

3464181280672 is an abundant number, since it is smaller than the sum of its proper divisors (4355715794528).

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

3464181280672 is a wasteful number, since it uses less digits than its factorization.

3464181280672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35738 (or 35730 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 52.

The spelling of 3464181280672 in words is "three trillion, four hundred sixty-four billion, one hundred eighty-one million, two hundred eighty thousand, six hundred seventy-two".