3679557633540 has 36 divisors (see below), whose sum is σ = 11161324822284. Its totient is φ = 981215368896.

The previous prime is 3679557633529. The next prime is 3679557633553. The reversal of 3679557633540 is 453367559763.

3679557633540 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 5 + 57 + 6 + 33 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1470267802116 + 2209289831424 = 1212546^2 + 1486368^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10220993247 + ... + 10220993606.

It is an arithmetic number, because the mean of its divisors is an integer number (310036800619).

Almost surely, 2^{3679557633540} is an apocalyptic number.

3679557633540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3679557633540 is an abundant number, since it is smaller than the sum of its proper divisors (7481767188744).

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

3679557633540 is a wasteful number, since it uses less digits than its factorization.

3679557633540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20441986868 (or 20441986863 counting only the distinct ones).

The product of its (nonzero) digits is 214326000, while the sum is 63.

The spelling of 3679557633540 in words is "three trillion, six hundred seventy-nine billion, five hundred fifty-seven million, six hundred thirty-three thousand, five hundred forty".