3885208870400 has 1440 divisors, whose sum is σ = 12301518366720. Its totient is φ = 1201913856000.

The previous prime is 3885208870381. The next prime is 3885208870421. The reversal of 3885208870400 is 40788025883.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16965977486 + ... + 16965977714.

It is an arithmetic number, because the mean of its divisors is an integer number (8542721088).

Almost surely, 2^{3885208870400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3885208870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6150759183360).

3885208870400 is an abundant number, since it is smaller than the sum of its proper divisors (8416309496320).

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

3885208870400 is a wasteful number, since it uses less digits than its factorization.

3885208870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 53.

The spelling of 3885208870400 in words is "three trillion, eight hundred eighty-five billion, two hundred eight million, eight hundred seventy thousand, four hundred".