3641413640 has 32 divisors (see below), whose sum is σ = 8285247000. Its totient is φ = 1440198144.

The previous prime is 3641413627. The next prime is 3641413709. The reversal of 3641413640 is 463141463.

It can be written as a sum of positive squares in 4 ways, for example, as 1217032996 + 2424380644 = 34886^2 + 49238^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3641413597 and 3641413606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507875 + ... + 514994.

Almost surely, 2^3641413640 is an apocalyptic number.

It is an amenable number.

3641413640 is an abundant number, since it is smaller than the sum of its proper divisors (4643833360).

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

3641413640 is a wasteful number, since it uses less digits than its factorization.

3641413640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022969 (or 1022965 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 3641413640 is about 60344.1268061773. The cubic root of 3641413640 is about 1538.4734465155.

The spelling of 3641413640 in words is "three billion, six hundred forty-one million, four hundred thirteen thousand, six hundred forty".