3641813496240 has 80 divisors (see below), whose sum is σ = 11305545669600. Its totient is φ = 969780473856.

The previous prime is 3641813496187. The next prime is 3641813496281. The reversal of 3641813496240 is 426943181463.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10530985 + ... + 10871304.

It is an arithmetic number, because the mean of its divisors is an integer number (141319320870).

Almost surely, 2^{3641813496240} is an apocalyptic number.

3641813496240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3641813496240 is an abundant number, since it is smaller than the sum of its proper divisors (7663732173360).

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

3641813496240 is a wasteful number, since it uses less digits than its factorization.

3641813496240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21403014 (or 21403008 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 3641813496240 in words is "three trillion, six hundred forty-one billion, eight hundred thirteen million, four hundred ninety-six thousand, two hundred forty".