3878683200 has 756 divisors, whose sum is σ = 16803745920. Its totient is φ = 844462080.

The previous prime is 3878683181. The next prime is 3878683201. The reversal of 3878683200 is 23868783.

3878683200 is a `hidden beast` number, since 387 + 8 + 68 + 3 + 200 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3878683201) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16228681 + ... + 16228919.

Almost surely, 2^3878683200 is an apocalyptic number.

3878683200 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 3878683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401872960).

3878683200 is an abundant number, since it is smaller than the sum of its proper divisors (12925062720).

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

3878683200 is a wasteful number, since it uses less digits than its factorization.

3878683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 279 counting only the distinct ones).

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

The square root of 3878683200 is about 62279.0751376415. The cubic root of 3878683200 is about 1571.1878173473.

The spelling of 3878683200 in words is "three billion, eight hundred seventy-eight million, six hundred eighty-three thousand, two hundred".