3644415354132 has 144 divisors (see below), whose sum is σ = 11564277903360. Its totient is φ = 943568771904.

The previous prime is 3644415354131. The next prime is 3644415354133. The reversal of 3644415354132 is 2314535144463.

3644415354132 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 41 + 535 + 41 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (3644415354131) and next prime (3644415354133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3644415354131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16436748 + ... + 16656995.

It is an arithmetic number, because the mean of its divisors is an integer number (80307485440).

Almost surely, 2^{3644415354132} is an apocalyptic number.

It is an amenable number.

3644415354132 is an abundant number, since it is smaller than the sum of its proper divisors (7919862549228).

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

3644415354132 is a wasteful number, since it uses less digits than its factorization.

3644415354132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33093802 (or 33093797 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 3644415354132 in words is "three trillion, six hundred forty-four billion, four hundred fifteen million, three hundred fifty-four thousand, one hundred thirty-two".