3642135213 has 16 divisors (see below), whose sum is σ = 5137472000. Its totient is φ = 2288729520.

The previous prime is 3642135197. The next prime is 3642135241. The reversal of 3642135213 is 3125312463.

3642135213 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3642135213 - 2⁴ = 3642135197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642135253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149203 + ... + 171888.

It is an arithmetic number, because the mean of its divisors is an integer number (321092000).

Almost surely, 2^3642135213 is an apocalyptic number.

It is an amenable number.

3642135213 is a deficient number, since it is larger than the sum of its proper divisors (1495336787).

3642135213 is a wasteful number, since it uses less digits than its factorization.

3642135213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321312.

The product of its digits is 12960, while the sum is 30.

The square root of 3642135213 is about 60350.1053271658. The cubic root of 3642135213 is about 1538.5750597617.

Adding to 3642135213 its reverse (3125312463), we get a palindrome (6767447676).

The spelling of 3642135213 in words is "three billion, six hundred forty-two million, one hundred thirty-five thousand, two hundred thirteen".