3480807652677 has 64 divisors (see below), whose sum is σ = 5363988480000. Its totient is φ = 2229443296704.

The previous prime is 3480807652643. The next prime is 3480807652727. The reversal of 3480807652677 is 7762567080843.

3480807652677 is a `hidden beast` number, since 3 + 480 + 8 + 0 + 7 + 65 + 26 + 77 = 666.

3480807652677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3480807652677 - 2¹⁵ = 3480807619909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3480807653677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17243074 + ... + 17443772.

It is an arithmetic number, because the mean of its divisors is an integer number (83812320000).

Almost surely, 2^{3480807652677} is an apocalyptic number.

It is an amenable number.

3480807652677 is a deficient number, since it is larger than the sum of its proper divisors (1883180827323).

3480807652677 is a wasteful number, since it uses less digits than its factorization.

3480807652677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201007 (or 201001 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 3480807652677 in words is "three trillion, four hundred eighty billion, eight hundred seven million, six hundred fifty-two thousand, six hundred seventy-seven".