3666012600 has 192 divisors, whose sum is σ = 12149222400. Its totient is φ = 911226880.

The previous prime is 3666012593. The next prime is 3666012629. The reversal of 3666012600 is 62106663.

3666012600 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1089721 + ... + 1093079.

It is an arithmetic number, because the mean of its divisors is an integer number (63277200).

Almost surely, 2^3666012600 is an apocalyptic number.

3666012600 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 3666012600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6074611200).

3666012600 is an abundant number, since it is smaller than the sum of its proper divisors (8483209800).

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

3666012600 is a wasteful number, since it uses less digits than its factorization.

3666012600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3502 (or 3493 counting only the distinct ones).

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

The square root of 3666012600 is about 60547.6060633284. The cubic root of 3666012600 is about 1541.9299747321.

The spelling of 3666012600 in words is "three billion, six hundred sixty-six million, twelve thousand, six hundred".