3646844672 has 54 divisors (see below), whose sum is σ = 7605605448. Its totient is φ = 1741926912.

The previous prime is 3646844647. The next prime is 3646844699. The reversal of 3646844672 is 2764486463.

3646844672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3646844672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4633463 + ... + 4634249.

Almost surely, 2^3646844672 is an apocalyptic number.

3646844672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3646844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802802724).

3646844672 is an abundant number, since it is smaller than the sum of its proper divisors (3958760776).

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

3646844672 is an frugal number, since it uses more digits than its factorization.

3646844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 812 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 50.

The square root of 3646844672 is about 60389.1105415538. The cubic root of 3646844672 is about 1539.2379250773.

The spelling of 3646844672 in words is "three billion, six hundred forty-six million, eight hundred forty-four thousand, six hundred seventy-two".