3806004866400 has 2880 divisors, whose sum is σ = 17215988106240. Its totient is φ = 806215680000.

The previous prime is 3806004866357. The next prime is 3806004866407. The reversal of 3806004866400 is 46684006083.

3806004866400 is a `hidden beast` number, since 38 + 0 + 600 + 4 + 8 + 6 + 6 + 4 + 0 + 0 = 666.

3806004866400 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806004866407) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 14044298265 + ... + 14044298535.

It is an arithmetic number, because the mean of its divisors is an integer number (5977773648).

Almost surely, 2^{3806004866400} is an apocalyptic number.

3806004866400 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 3806004866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8607994053120).

3806004866400 is an abundant number, since it is smaller than the sum of its proper divisors (13409983239840).

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

3806004866400 is a wasteful number, since it uses less digits than its factorization.

3806004866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 3806004866400 in words is "three trillion, eight hundred six billion, four million, eight hundred sixty-six thousand, four hundred".