3642133536 has 72 divisors (see below), whose sum is σ = 10807655040. Its totient is φ = 1161257856.

The previous prime is 3642133511. The next prime is 3642133597. The reversal of 3642133536 is 6353312463.

3642133536 is a `hidden beast` number, since 3 + 642 + 1 + 3 + 3 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3642133536.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 268296 + ... + 281543.

It is an arithmetic number, because the mean of its divisors is an integer number (150106320).

Almost surely, 2^3642133536 is an apocalyptic number.

3642133536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3642133536 is an abundant number, since it is smaller than the sum of its proper divisors (7165521504).

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

3642133536 is a wasteful number, since it uses less digits than its factorization.

3642133536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549878 (or 549867 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The square root of 3642133536 is about 60350.0914332365. The cubic root of 3642133536 is about 1538.5748236190.

Adding to 3642133536 its reverse (6353312463), we get a palindrome (9995445999).

The spelling of 3642133536 in words is "three billion, six hundred forty-two million, one hundred thirty-three thousand, five hundred thirty-six".