3678866100 has 1080 divisors, whose sum is σ = 16091970048. Its totient is φ = 718502400.

The previous prime is 3678866053. The next prime is 3678866111. The reversal of 3678866100 is 16688763.

3678866100 is digitally balanced in base 2 and base 4, because in such bases 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 118673085 + ... + 118673115.

Almost surely, 2^3678866100 is an apocalyptic number.

3678866100 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 3678866100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045985024).

3678866100 is an abundant number, since it is smaller than the sum of its proper divisors (12413103948).

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

3678866100 is a wasteful number, since it uses less digits than its factorization.

3678866100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

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

The square root of 3678866100 is about 60653.6569383908. The cubic root of 3678866100 is about 1543.7299393657.

The spelling of 3678866100 in words is "three billion, six hundred seventy-eight million, eight hundred sixty-six thousand, one hundred".