3488800638555 has 128 divisors (see below), whose sum is σ = 6703944652800. Its totient is φ = 1716164448768.

The previous prime is 3488800638481. The next prime is 3488800638571. The reversal of 3488800638555 is 5558360088843.

3488800638555 is a `hidden beast` number, since 3 + 48 + 8 + 8 + 0 + 0 + 6 + 38 + 555 = 666.

It is not a de Polignac number, because 3488800638555 - 2¹⁴ = 3488800622171 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3488800638492 and 3488800638501.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69579724 + ... + 69629846.

It is an arithmetic number, because the mean of its divisors is an integer number (52374567600).

Almost surely, 2^{3488800638555} is an apocalyptic number.

3488800638555 is a deficient number, since it is larger than the sum of its proper divisors (3215144014245).

3488800638555 is a wasteful number, since it uses less digits than its factorization.

3488800638555 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50962 (or 50956 counting only the distinct ones).

The product of its (nonzero) digits is 110592000, while the sum is 63.

The spelling of 3488800638555 in words is "three trillion, four hundred eighty-eight billion, eight hundred million, six hundred thirty-eight thousand, five hundred fifty-five".