3648338463 has 96 divisors (see below), whose sum is σ = 6329352960. Its totient is φ = 1848000000.

The previous prime is 3648338443. The next prime is 3648338497.

3648338463 is nontrivially palindromic in base 10.

3648338463 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3648338463 - 2⁶ = 3648338399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648338413) 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 95 ways as a sum of consecutive naturals, for example, 14535088 + ... + 14535338.

It is an arithmetic number, because the mean of its divisors is an integer number (65930760).

Almost surely, 2^3648338463 is an apocalyptic number.

3648338463 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3648338463 is a deficient number, since it is larger than the sum of its proper divisors (2681014497).

3648338463 is a wasteful number, since it uses less digits than its factorization.

3648338463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 462 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 48.

The square root of 3648338463 is about 60401.4773246483. The cubic root of 3648338463 is about 1539.4480597825.

The spelling of 3648338463 in words is "three billion, six hundred forty-eight million, three hundred thirty-eight thousand, four hundred sixty-three".