3683361000 has 384 divisors, whose sum is σ = 12896956800. Its totient is φ = 874368000.

The previous prime is 3683360983. The next prime is 3683361067. The reversal of 3683361000 is 1633863.

3683361000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26498931 + ... + 26499069.

It is an arithmetic number, because the mean of its divisors is an integer number (33585825).

Almost surely, 2^3683361000 is an apocalyptic number.

3683361000 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 3683361000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448478400).

3683361000 is an abundant number, since it is smaller than the sum of its proper divisors (9213595800).

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

3683361000 is a wasteful number, since it uses less digits than its factorization.

3683361000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3683361000 is about 60690.6994522225. The cubic root of 3683361000 is about 1544.3584018146.

Adding to 3683361000 its reverse (1633863), we get a palindrome (3684994863).

The spelling of 3683361000 in words is "three billion, six hundred eighty-three million, three hundred sixty-one thousand".