3683712000 has 352 divisors, whose sum is σ = 12553579584. Its totient is φ = 958464000.

The previous prime is 3683711959. The next prime is 3683712049. The reversal of 3683712000 is 2173863.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20351910 + ... + 20352090.

Almost surely, 2^3683712000 is an apocalyptic number.

3683712000 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 3683712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6276789792).

3683712000 is an abundant number, since it is smaller than the sum of its proper divisors (8869867584).

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

3683712000 is a wasteful number, since it uses less digits than its factorization.

3683712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3683712000 is about 60693.5910949418. The cubic root of 3683712000 is about 1544.4074559784.

Adding to 3683712000 its reverse (2173863), we get a palindrome (3685885863).

The spelling of 3683712000 in words is "three billion, six hundred eighty-three million, seven hundred twelve thousand".