3805699633344 has 672 divisors, whose sum is σ = 13279823884800. Its totient is φ = 1068431938560.

The previous prime is 3805699633303. The next prime is 3805699633381. The reversal of 3805699633344 is 4433369965083.

It is a happy number.

3805699633344 is a `hidden beast` number, since 3 + 8 + 0 + 569 + 9 + 6 + 33 + 34 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1713506154 + ... + 1713508374.

Almost surely, 2^{3805699633344} 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 3805699633344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639911942400).

3805699633344 is an abundant number, since it is smaller than the sum of its proper divisors (9474124251456).

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

3805699633344 is an frugal number, since it uses more digits than its factorization.

3805699633344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 151165440, while the sum is 63.

The spelling of 3805699633344 in words is "three trillion, eight hundred five billion, six hundred ninety-nine million, six hundred thirty-three thousand, three hundred forty-four".