3666010877100 has 432 divisors, whose sum is σ = 14210332980480. Its totient is φ = 777188390400.

The previous prime is 3666010877083. The next prime is 3666010877129. The reversal of 3666010877100 is 17780106663.

It is a super-2 number, since 2×3666010877100² (a number of 26 digits) contains 22 as substring.

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

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, 1695697 + ... + 3194903.

Almost surely, 2^{3666010877100} is an apocalyptic number.

3666010877100 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 3666010877100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105166490240).

3666010877100 is an abundant number, since it is smaller than the sum of its proper divisors (10544322103380).

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

3666010877100 is a wasteful number, since it uses less digits than its factorization.

3666010877100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499270 (or 1499260 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 3666010877100 in words is "three trillion, six hundred sixty-six billion, ten million, eight hundred seventy-seven thousand, one hundred".