3805394688000 has 768 divisors, whose sum is σ = 14106780979200. Its totient is φ = 1011983155200.

The previous prime is 3805394687999. The next prime is 3805394688083. The reversal of 3805394688000 is 8864935083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4195583547 + ... + 4195584453.

It is an arithmetic number, because the mean of its divisors is an integer number (18368204400).

Almost surely, 2^{3805394688000} is an apocalyptic number.

3805394688000 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 3805394688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053390489600).

3805394688000 is an abundant number, since it is smaller than the sum of its proper divisors (10301386291200).

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

3805394688000 is an equidigital number, since it uses as much as digits as its factorization.

3805394688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3805394688000 in words is "three trillion, eight hundred five billion, three hundred ninety-four million, six hundred eighty-eight thousand".