3681878200 has 384 divisors, whose sum is σ = 11744248320. Its totient is φ = 1036339200.

The previous prime is 3681878131. The next prime is 3681878201. The reversal of 3681878200 is 28781863.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681878201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10610427 + ... + 10610773.

It is an arithmetic number, because the mean of its divisors is an integer number (30583980).

Almost surely, 2^3681878200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3681878200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872124160).

3681878200 is an abundant number, since it is smaller than the sum of its proper divisors (8062370120).

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

3681878200 is a wasteful number, since it uses less digits than its factorization.

3681878200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 3681878200 is about 60678.4821827310. The cubic root of 3681878200 is about 1544.1511380324.

The spelling of 3681878200 in words is "three billion, six hundred eighty-one million, eight hundred seventy-eight thousand, two hundred".