3666124800 has 840 divisors, whose sum is σ = 15486063516. Its totient is φ = 849346560.

The previous prime is 3666124771. The next prime is 3666124801. The reversal of 3666124800 is 84216663.

It can be written as a sum of positive squares in 6 ways, for example, as 1154912256 + 2511212544 = 33984^2 + 50112^2 .

It is a super-3 number, since 3×3666124800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3666124801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 215654392 + ... + 215654408.

Almost surely, 2^3666124800 is an apocalyptic number.

3666124800 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 3666124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7743031758).

3666124800 is an abundant number, since it is smaller than the sum of its proper divisors (11819938716).

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

3666124800 is a wasteful number, since it uses less digits than its factorization.

3666124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3666124800 is about 60548.5325998905. The cubic root of 3666124800 is about 1541.9457050634.

The spelling of 3666124800 in words is "three billion, six hundred sixty-six million, one hundred twenty-four thousand, eight hundred".