3466334672760 has 128 divisors (see below), whose sum is σ = 10469553523200. Its totient is φ = 918086822400.

The previous prime is 3466334672737. The next prime is 3466334672789. The reversal of 3466334672760 is 672764336643.

3466334672760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3466334672760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157071247 + ... + 157093313.

It is an arithmetic number, because the mean of its divisors is an integer number (81793386900).

Almost surely, 2^{3466334672760} is an apocalyptic number.

3466334672760 is a gapful number since it is divisible by the number (30) 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 3466334672760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5234776761600).

3466334672760 is an abundant number, since it is smaller than the sum of its proper divisors (7003218850440).

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

3466334672760 is a wasteful number, since it uses less digits than its factorization.

3466334672760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30901 (or 30897 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 57.

The spelling of 3466334672760 in words is "three trillion, four hundred sixty-six billion, three hundred thirty-four million, six hundred seventy-two thousand, seven hundred sixty".