3642718542900 has 36 divisors (see below), whose sum is σ = 10539598984992. Its totient is φ = 971391611360.

The previous prime is 3642718542877. The next prime is 3642718542919. The reversal of 3642718542900 is 92458172463.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6071197272 + ... + 6071197871.

It is an arithmetic number, because the mean of its divisors is an integer number (292766638472).

It is a 1-persistent number, because it is pandigital, but 2⋅3642718542900 = 7285437085800 is not.

Almost surely, 2^{3642718542900} is an apocalyptic number.

3642718542900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3642718542900 is an abundant number, since it is smaller than the sum of its proper divisors (6896880442092).

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

3642718542900 is a wasteful number, since it uses less digits than its factorization.

3642718542900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12142395160 (or 12142395153 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 3642718542900 in words is "three trillion, six hundred forty-two billion, seven hundred eighteen million, five hundred forty-two thousand, nine hundred".