3638706676506 has 96 divisors (see below), whose sum is σ = 8884234344960. Its totient is φ = 1066322188800.

The previous prime is 3638706676499. The next prime is 3638706676513. The reversal of 3638706676506 is 6056766078363.

3638706676506 is a `hidden beast` number, since 3 + 63 + 8 + 7 + 0 + 6 + 67 + 6 + 506 = 666.

It is an interprime number because it is at equal distance from previous prime (3638706676499) and next prime (3638706676513).

It is a super-3 number, since 3×3638706676506³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8588910 + ... + 9002598.

It is an arithmetic number, because the mean of its divisors is an integer number (92544107760).

Almost surely, 2^{3638706676506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3638706676506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4442117172480).

3638706676506 is an abundant number, since it is smaller than the sum of its proper divisors (5245527668454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3638706676506 is a wasteful number, since it uses less digits than its factorization.

3638706676506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415172 (or 415169 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 3638706676506 in words is "three trillion, six hundred thirty-eight billion, seven hundred six million, six hundred seventy-six thousand, five hundred six".