3643013960800 has 144 divisors (see below), whose sum is σ = 8997283824480. Its totient is φ = 1440273981440.

The previous prime is 3643013960791. The next prime is 3643013960819. The reversal of 3643013960800 is 80693103463.

It is a super-3 number, since 3×3643013960800³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32397474 + ... + 32509726.

It is an arithmetic number, because the mean of its divisors is an integer number (62481137670).

Almost surely, 2^{3643013960800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643013960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498641912240).

3643013960800 is an abundant number, since it is smaller than the sum of its proper divisors (5354269863680).

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

3643013960800 is a wasteful number, since it uses less digits than its factorization.

3643013960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112745 (or 112732 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 3643013960800 in words is "three trillion, six hundred forty-three billion, thirteen million, nine hundred sixty thousand, eight hundred".