3873878400 has 384 divisors, whose sum is σ = 15444725760. Its totient is φ = 833126400.

The previous prime is 3873878311. The next prime is 3873878401. The reversal of 3873878400 is 48783783.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3873878400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3873878401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1140705 + ... + 1144095.

It is an arithmetic number, because the mean of its divisors is an integer number (40220640).

Almost surely, 2^3873878400 is an apocalyptic number.

3873878400 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 3873878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7722362880).

3873878400 is an abundant number, since it is smaller than the sum of its proper divisors (11570847360).

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

3873878400 is a wasteful number, since it uses less digits than its factorization.

3873878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 3873878400 is about 62240.4884299601. The cubic root of 3873878400 is about 1570.5387686673.

The spelling of 3873878400 in words is "three billion, eight hundred seventy-three million, eight hundred seventy-eight thousand, four hundred".