3879244800 has 396 divisors, whose sum is σ = 14106491100. Its totient is φ = 1018429440.

The previous prime is 3879244793. The next prime is 3879244843. The reversal of 3879244800 is 84429783.

3879244800 is a `hidden beast` number, since 3 + 87 + 92 + 4 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1556775936 + 2322468864 = 39456^2 + 48192^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26035126 + ... + 26035274.

Almost surely, 2^3879244800 is an apocalyptic number.

3879244800 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 3879244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7053245550).

3879244800 is an abundant number, since it is smaller than the sum of its proper divisors (10227246300).

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

3879244800 is a wasteful number, since it uses less digits than its factorization.

3879244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3879244800 is about 62283.5837119220. The cubic root of 3879244800 is about 1571.2636451862.

The spelling of 3879244800 in words is "three billion, eight hundred seventy-nine million, two hundred forty-four thousand, eight hundred".