3836205505400 has 48 divisors (see below), whose sum is σ = 8963997882000. Its totient is φ = 1526771220480.

The previous prime is 3836205505393. The next prime is 3836205505441. The reversal of 3836205505400 is 45055026383.

It is a super-2 number, since 2×3836205505400² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48153737 + ... + 48233336.

It is an arithmetic number, because the mean of its divisors is an integer number (186749955875).

Almost surely, 2^{3836205505400} is an apocalyptic number.

It is an amenable number.

3836205505400 is an abundant number, since it is smaller than the sum of its proper divisors (5127792376600).

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

3836205505400 is a wasteful number, since it uses less digits than its factorization.

3836205505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96387288 (or 96387279 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 3836205505400 in words is "three trillion, eight hundred thirty-six billion, two hundred five million, five hundred five thousand, four hundred".