3852878400 has 840 divisors, whose sum is σ = 16829446656. Its totient is φ = 846028800.

The previous prime is 3852878371. The next prime is 3852878423. The reversal of 3852878400 is 48782583.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28123132 + ... + 28123268.

Almost surely, 2^3852878400 is an apocalyptic number.

3852878400 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 3852878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414723328).

3852878400 is an abundant number, since it is smaller than the sum of its proper divisors (12976568256).

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

3852878400 is a wasteful number, since it uses less digits than its factorization.

3852878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3852878400 is about 62071.5587044501. The cubic root of 3852878400 is about 1567.6957013962.

The spelling of 3852878400 in words is "three billion, eight hundred fifty-two million, eight hundred seventy-eight thousand, four hundred".