3682134466704 has 120 divisors (see below), whose sum is σ = 10646883436800. Its totient is φ = 1186712674560.

The previous prime is 3682134466691. The next prime is 3682134466711. The reversal of 3682134466704 is 4076644312863.

3682134466704 is a `hidden beast` number, since 3 + 6 + 82 + 1 + 34 + 466 + 70 + 4 = 666.

It is a super-2 number, since 2×3682134466704² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4578687 + ... + 5322465.

It is an arithmetic number, because the mean of its divisors is an integer number (88724028640).

Almost surely, 2^{3682134466704} 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 3682134466704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5323441718400).

3682134466704 is an abundant number, since it is smaller than the sum of its proper divisors (6964748970096).

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

3682134466704 is a wasteful number, since it uses less digits than its factorization.

3682134466704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744933 (or 744924 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3682134466704 in words is "three trillion, six hundred eighty-two billion, one hundred thirty-four million, four hundred sixty-six thousand, seven hundred four".