3406682000160 has 576 divisors, whose sum is σ = 12371547726720. Its totient is φ = 851217776640.

The previous prime is 3406682000159. The next prime is 3406682000171. The reversal of 3406682000160 is 610002866043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2043599647 + ... + 2043601313.

It is an arithmetic number, because the mean of its divisors is an integer number (21478381470).

Almost surely, 2^{3406682000160} is an apocalyptic number.

3406682000160 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 3406682000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185773863360).

3406682000160 is an abundant number, since it is smaller than the sum of its proper divisors (8964865726560).

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

3406682000160 is a wasteful number, since it uses less digits than its factorization.

3406682000160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 3406682000160 in words is "three trillion, four hundred six billion, six hundred eighty-two million, one hundred sixty", and thus it is an aban number.