3634395823872 has 144 divisors (see below), whose sum is σ = 11724597884160. Its totient is φ = 1101332044800.

The previous prime is 3634395823847. The next prime is 3634395823907. The reversal of 3634395823872 is 2783285934363.

It is a happy number.

3634395823872 is a `hidden beast` number, since 3 + 6 + 3 + 4 + 395 + 8 + 238 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 23824404 + ... + 23976467.

It is an arithmetic number, because the mean of its divisors is an integer number (81420818640).

Almost surely, 2^{3634395823872} is an apocalyptic number.

3634395823872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3634395823872 is an abundant number, since it is smaller than the sum of its proper divisors (8090202060288).

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

3634395823872 is a wasteful number, since it uses less digits than its factorization.

3634395823872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47800907 (or 47800887 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 3634395823872 in words is "three trillion, six hundred thirty-four billion, three hundred ninety-five million, eight hundred twenty-three thousand, eight hundred seventy-two".