3806024018400 has 432 divisors, whose sum is σ = 14217423620400. Its totient is φ = 955392122880.

The previous prime is 3806024018389. The next prime is 3806024018441. The reversal of 3806024018400 is 48104206083.

3806024018400 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 0 + 240 + 1 + 8 + 400 = 666.

3806024018400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21388996 + ... + 21566204.

It is an arithmetic number, because the mean of its divisors is an integer number (32910702825).

Almost surely, 2^{3806024018400} is an apocalyptic number.

3806024018400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3806024018400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108711810200).

3806024018400 is an abundant number, since it is smaller than the sum of its proper divisors (10411399602000).

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

3806024018400 is a wasteful number, since it uses less digits than its factorization.

3806024018400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177411 (or 177395 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 3806024018400 in words is "three trillion, eight hundred six billion, twenty-four million, eighteen thousand, four hundred".