3480820056657 has 12 divisors (see below), whose sum is σ = 5027892887940. Its totient is φ = 2320527460608.

The previous prime is 3480820056613. The next prime is 3480820056689. The reversal of 3480820056657 is 7566500280843.

3480820056657 is a `hidden beast` number, since 3 + 4 + 8 + 0 + 8 + 20 + 0 + 566 + 57 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2422306253376 + 1058513803281 = 1556376^2 + 1028841^2 .

It is not a de Polignac number, because 3480820056657 - 2¹¹ = 3480820054609 is a prime.

It is a super-2 number, since 2×3480820056657² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3480820056607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411432 + ... + 2670377.

It is an arithmetic number, because the mean of its divisors is an integer number (418991073995).

Almost surely, 2^{3480820056657} is an apocalyptic number.

It is an amenable number.

3480820056657 is a deficient number, since it is larger than the sum of its proper divisors (1547072831283).

3480820056657 is a wasteful number, since it uses less digits than its factorization.

3480820056657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207312 (or 3207309 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 3480820056657 in words is "three trillion, four hundred eighty billion, eight hundred twenty million, fifty-six thousand, six hundred fifty-seven".