3683787660 has 432 divisors, whose sum is σ = 13942656000. Its totient is φ = 813214080.

The previous prime is 3683787649. The next prime is 3683787671. The reversal of 3683787660 is 667873863.

It is an interprime number because it is at equal distance from previous prime (3683787649) and next prime (3683787671).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3683787597 and 3683787606.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7382091 + ... + 7382589.

Almost surely, 2^3683787660 is an apocalyptic number.

3683787660 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 3683787660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971328000).

3683787660 is an abundant number, since it is smaller than the sum of its proper divisors (10258868340).

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

3683787660 is a wasteful number, since it uses less digits than its factorization.

3683787660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3683787660 is about 60694.2143865459. The cubic root of 3683787660 is about 1544.4180294677.

The spelling of 3683787660 in words is "three billion, six hundred eighty-three million, seven hundred eighty-seven thousand, six hundred sixty".