3653385138 has 96 divisors (see below), whose sum is σ = 8703676800. Its totient is φ = 1100659968.

The previous prime is 3653385137. The next prime is 3653385181. The reversal of 3653385138 is 8315833563.

3653385138 is a `hidden beast` number, since 3 + 6 + 533 + 85 + 1 + 38 = 666.

It is a super-3 number, since 3×3653385138³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3653385093 and 3653385102.

It is not an unprimeable number, because it can be changed into a prime (3653385137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5646331 + ... + 5646977.

It is an arithmetic number, because the mean of its divisors is an integer number (90663300).

Almost surely, 2^3653385138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3653385138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351838400).

3653385138 is an abundant number, since it is smaller than the sum of its proper divisors (5050291662).

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

3653385138 is a wasteful number, since it uses less digits than its factorization.

3653385138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1133 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 3653385138 is about 60443.2389767458. The cubic root of 3653385138 is about 1540.1575621663.

The spelling of 3653385138 in words is "three billion, six hundred fifty-three million, three hundred eighty-five thousand, one hundred thirty-eight".