3644136405 has 128 divisors (see below), whose sum is σ = 8443008000. Its totient is φ = 1447206912.

The previous prime is 3644136403. The next prime is 3644136413. The reversal of 3644136405 is 5046314463.

3644136405 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 1 + 3 + 640 + 5 = 666.

It is not a de Polignac number, because 3644136405 - 2¹ = 3644136403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3644136405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644136403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200121 + ... + 217569.

It is an arithmetic number, because the mean of its divisors is an integer number (65961000).

Almost surely, 2^3644136405 is an apocalyptic number.

3644136405 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3644136405 is an abundant number, since it is smaller than the sum of its proper divisors (4798871595).

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

3644136405 is a wasteful number, since it uses less digits than its factorization.

3644136405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17500 (or 17494 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3644136405 is about 60366.6829053908. The cubic root of 3644136405 is about 1538.8568011187.

The spelling of 3644136405 in words is "three billion, six hundred forty-four million, one hundred thirty-six thousand, four hundred five".