3683288700 has 720 divisors, whose sum is σ = 15527339520. Its totient is φ = 733432320.

The previous prime is 3683288699. The next prime is 3683288717. The reversal of 3683288700 is 78823863.

3683288700 is a `hidden beast` number, since 368 + 3 + 288 + 7 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14004769 + ... + 14005031.

Almost surely, 2^3683288700 is an apocalyptic number.

3683288700 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 3683288700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763669760).

3683288700 is an abundant number, since it is smaller than the sum of its proper divisors (11844050820).

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

3683288700 is a wasteful number, since it uses less digits than its factorization.

3683288700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

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

The square root of 3683288700 is about 60690.1038061396. The cubic root of 3683288700 is about 1544.3482971083.

The spelling of 3683288700 in words is "three billion, six hundred eighty-three million, two hundred eighty-eight thousand, seven hundred".