3480672080664 has 24 divisors (see below), whose sum is σ = 9426820218660. Its totient is φ = 1160224026864.

The previous prime is 3480672080659. The next prime is 3480672080681. The reversal of 3480672080664 is 4660802760843.

3480672080664 is a `hidden beast` number, since 3 + 480 + 6 + 7 + 20 + 80 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×3480672080664² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3480672080664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24171333822 + ... + 24171333965.

Almost surely, 2^{3480672080664} is an apocalyptic number.

It is an amenable number.

3480672080664 is an abundant number, since it is smaller than the sum of its proper divisors (5946148137996).

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

3480672080664 is a wasteful number, since it uses less digits than its factorization.

3480672080664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48342667799 (or 48342667792 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3480672080664 in words is "three trillion, four hundred eighty billion, six hundred seventy-two million, eighty thousand, six hundred sixty-four".