3854646338400 has 1440 divisors, whose sum is σ = 16567530110208. Its totient is φ = 859822387200.

The previous prime is 3854646338383. The next prime is 3854646338447. The reversal of 3854646338400 is 48336464583.

3854646338400 is a `hidden beast` number, since 3 + 8 + 546 + 4 + 63 + 38 + 4 + 0 + 0 = 666.

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

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 239 ways as a sum of consecutive naturals, for example, 4660998787 + ... + 4660999613.

Almost surely, 2^{3854646338400} is an apocalyptic number.

3854646338400 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 3854646338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283765055104).

3854646338400 is an abundant number, since it is smaller than the sum of its proper divisors (12712883771808).

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

3854646338400 is a wasteful number, since it uses less digits than its factorization.

3854646338400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1386 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 3854646338400 in words is "three trillion, eight hundred fifty-four billion, six hundred forty-six million, three hundred thirty-eight thousand, four hundred".