3878112420 has 576 divisors, whose sum is σ = 16158804480. Its totient is φ = 728580096.

The previous prime is 3878112389. The next prime is 3878112443. The reversal of 3878112420 is 242118783.

3878112420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5290374 + ... + 5291106.

It is an arithmetic number, because the mean of its divisors is an integer number (28053480).

Almost surely, 2^3878112420 is an apocalyptic number.

3878112420 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 3878112420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8079402240).

3878112420 is an abundant number, since it is smaller than the sum of its proper divisors (12280692060).

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

3878112420 is a wasteful number, since it uses less digits than its factorization.

3878112420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3878112420 is about 62274.4925310516. The cubic root of 3878112420 is about 1571.1107425145.

The spelling of 3878112420 in words is "three billion, eight hundred seventy-eight million, one hundred twelve thousand, four hundred twenty".