3688678200 has 192 divisors, whose sum is σ = 11892096000. Its totient is φ = 944688640.

The previous prime is 3688678193. The next prime is 3688678211. The reversal of 3688678200 is 28768863.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3688678200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4158157 + ... + 4159043.

It is an arithmetic number, because the mean of its divisors is an integer number (61938000).

Almost surely, 2^3688678200 is an apocalyptic number.

3688678200 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 3688678200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946048000).

3688678200 is an abundant number, since it is smaller than the sum of its proper divisors (8203417800).

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

3688678200 is a wasteful number, since it uses less digits than its factorization.

3688678200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1165 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 3688678200 is about 60734.4893779474. The cubic root of 3688678200 is about 1545.1011758085.

The spelling of 3688678200 in words is "three billion, six hundred eighty-eight million, six hundred seventy-eight thousand, two hundred".