3643686720 has 224 divisors, whose sum is σ = 13011546240. Its totient is φ = 959754240.

The previous prime is 3643686707. The next prime is 3643686731. The reversal of 3643686720 is 276863463.

3643686720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 714580 + ... + 719660.

It is an arithmetic number, because the mean of its divisors is an integer number (58087260).

Almost surely, 2^3643686720 is an apocalyptic number.

3643686720 is a gapful number since it is divisible by the number (30) 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 3643686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6505773120).

3643686720 is an abundant number, since it is smaller than the sum of its proper divisors (9367859520).

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

3643686720 is a wasteful number, since it uses less digits than its factorization.

3643686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5190 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3643686720 is about 60362.9581780085. The cubic root of 3643686720 is about 1538.7935004067.

The spelling of 3643686720 in words is "three billion, six hundred forty-three million, six hundred eighty-six thousand, seven hundred twenty".