3486515305680 has 180 divisors, whose sum is σ = 12870092185860. Its totient is φ = 845215810560.

The previous prime is 3486515305661. The next prime is 3486515305687. The reversal of 3486515305680 is 865035156843.

It is a happy number.

3486515305680 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 51 + 530 + 56 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 867982902336 + 2618532403344 = 931656^2 + 1618188^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486515305687) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19922725 + ... + 20096964.

Almost surely, 2^{3486515305680} is an apocalyptic number.

3486515305680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3486515305680 is an abundant number, since it is smaller than the sum of its proper divisors (9383576880180).

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

3486515305680 is a wasteful number, since it uses less digits than its factorization.

3486515305680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40019730 (or 40019710 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 3486515305680 in words is "three trillion, four hundred eighty-six billion, five hundred fifteen million, three hundred five thousand, six hundred eighty".