3687668100 has 144 divisors (see below), whose sum is σ = 11913195840. Its totient is φ = 978566400.

The previous prime is 3687668099. The next prime is 3687668107. The reversal of 3687668100 is 18667863.

It is a super-2 number, since 2×3687668100² = 27197792031515220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3687668107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 566464 + ... + 572936.

Almost surely, 2^3687668100 is an apocalyptic number.

3687668100 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 3687668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956597920).

3687668100 is an abundant number, since it is smaller than the sum of its proper divisors (8225527740).

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

3687668100 is a wasteful number, since it uses less digits than its factorization.

3687668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6707 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3687668100 is about 60726.1731051776. The cubic root of 3687668100 is about 1544.9601271640.

It can be divided in two parts, 36876 and 68100, that added together give a 4-th power (104976 = 18⁴).

The spelling of 3687668100 in words is "three billion, six hundred eighty-seven million, six hundred sixty-eight thousand, one hundred".