3858366376800 has 1440 divisors, whose sum is σ = 15628531897440. Its totient is φ = 920412979200.

The previous prime is 3858366376793. The next prime is 3858366376871. The reversal of 3858366376800 is 86736638583.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3973600315 + ... + 3973601285.

It is an arithmetic number, because the mean of its divisors is an integer number (10853147151).

Almost surely, 2^{3858366376800} is an apocalyptic number.

3858366376800 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 3858366376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814265948720).

3858366376800 is an abundant number, since it is smaller than the sum of its proper divisors (11770165520640).

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

3858366376800 is a wasteful number, since it uses less digits than its factorization.

3858366376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3858366376800 in words is "three trillion, eight hundred fifty-eight billion, three hundred sixty-six million, three hundred seventy-six thousand, eight hundred".