3486626872704 has 96 divisors (see below), whose sum is σ = 10160133952800. Its totient is φ = 1147497421824.

The previous prime is 3486626872697. The next prime is 3486626872717. The reversal of 3486626872704 is 4072786266843.

It is a happy number.

3486626872704 is a `hidden beast` number, since 3 + 48 + 66 + 268 + 7 + 270 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19064599 + ... + 19246614.

It is an arithmetic number, because the mean of its divisors is an integer number (105834728675).

Almost surely, 2^{3486626872704} is an apocalyptic number.

It is an amenable number.

3486626872704 is an abundant number, since it is smaller than the sum of its proper divisors (6673507080096).

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

3486626872704 is a wasteful number, since it uses less digits than its factorization.

3486626872704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38311312 (or 38311297 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 3486626872704 in words is "three trillion, four hundred eighty-six billion, six hundred twenty-six million, eight hundred seventy-two thousand, seven hundred four".