3480676216401 has 16 divisors (see below), whose sum is σ = 4767634584000. Its totient is φ = 2257118624448.

The previous prime is 3480676216373. The next prime is 3480676216477. The reversal of 3480676216401 is 1046126760843.

It is not a de Polignac number, because 3480676216401 - 2¹⁴ = 3480676200017 is a prime.

It is a super-3 number, since 3×3480676216401³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3480676214401) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3878826 + ... + 4691123.

It is an arithmetic number, because the mean of its divisors is an integer number (297977161500).

Almost surely, 2^{3480676216401} is an apocalyptic number.

It is an amenable number.

3480676216401 is a deficient number, since it is larger than the sum of its proper divisors (1286958367599).

3480676216401 is a wasteful number, since it uses less digits than its factorization.

3480676216401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573648.

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 3480676216401 in words is "three trillion, four hundred eighty billion, six hundred seventy-six million, two hundred sixteen thousand, four hundred one".