3646611344 has 80 divisors (see below), whose sum is σ = 7409525760. Its totient is φ = 1736640000.

The previous prime is 3646611341. The next prime is 3646611349. The reversal of 3646611344 is 4431166463.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3646611298 and 3646611307.

It is not an unprimeable number, because it can be changed into a prime (3646611341) 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, 13556042 + ... + 13556310.

It is an arithmetic number, because the mean of its divisors is an integer number (92619072).

Almost surely, 2^3646611344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3646611344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704762880).

3646611344 is an abundant number, since it is smaller than the sum of its proper divisors (3762914416).

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

3646611344 is a wasteful number, since it uses less digits than its factorization.

3646611344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 634 counting only the distinct ones).

The product of its digits is 124416, while the sum is 38.

The square root of 3646611344 is about 60387.1786391780. The cubic root of 3646611344 is about 1539.2050971581.

The spelling of 3646611344 in words is "three billion, six hundred forty-six million, six hundred eleven thousand, three hundred forty-four".