3486479760648 has 144 divisors (see below), whose sum is σ = 10382006809980. Its totient is φ = 1093797292032.

The previous prime is 3486479760637. The next prime is 3486479760671. The reversal of 3486479760648 is 8460679746843.

3486479760648 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 4 + 7 + 9 + 7 + 606 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3310296414084 + 176183346564 = 1819422^2 + 419742^2 .

It is a super-2 number, since 2×3486479760648² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1061361 + ... + 2845952.

Almost surely, 2^{3486479760648} is an apocalyptic number.

It is an amenable number.

3486479760648 is an abundant number, since it is smaller than the sum of its proper divisors (6895527049332).

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

3486479760648 is an equidigital number, since it uses as much as digits as its factorization.

3486479760648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907360 (or 3907335 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 3486479760648 in words is "three trillion, four hundred eighty-six billion, four hundred seventy-nine million, seven hundred sixty thousand, six hundred forty-eight".