3643727840 has 48 divisors (see below), whose sum is σ = 8726257008. Its totient is φ = 1437520896.

The previous prime is 3643727807. The next prime is 3643727849. The reversal of 3643727840 is 487273463.

It is a junction number, because it is equal to n+sod(n) for n = 3643727791 and 3643727800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3643727849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144302 + ... + 167661.

It is an arithmetic number, because the mean of its divisors is an integer number (181797021).

Almost surely, 2^3643727840 is an apocalyptic number.

It is an amenable number.

3643727840 is an abundant number, since it is smaller than the sum of its proper divisors (5082529168).

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

3643727840 is a wasteful number, since it uses less digits than its factorization.

3643727840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312051 (or 312043 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 44.

The square root of 3643727840 is about 60363.2987832839. The cubic root of 3643727840 is about 1538.7992889533.

The spelling of 3643727840 in words is "three billion, six hundred forty-three million, seven hundred twenty-seven thousand, eight hundred forty".