3868819200 has 540 divisors, whose sum is σ = 15180747120. Its totient is φ = 968785920.

The previous prime is 3868819187. The next prime is 3868819237. The reversal of 3868819200 is 29188683.

3868819200 is a `hidden beast` number, since 386 + 88 + 192 + 0 + 0 = 666.

3868819200 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 tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 8812581 + ... + 8813019.

Almost surely, 2^3868819200 is an apocalyptic number.

3868819200 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 3868819200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7590373560).

3868819200 is an abundant number, since it is smaller than the sum of its proper divisors (11311927920).

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

3868819200 is a wasteful number, since it uses less digits than its factorization.

3868819200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3868819200 is about 62199.8327972029. The cubic root of 3868819200 is about 1569.8547744556.

The spelling of 3868819200 in words is "three billion, eight hundred sixty-eight million, eight hundred nineteen thousand, two hundred".