3666936000 has 896 divisors, whose sum is σ = 15763378176. Its totient is φ = 729907200.

The previous prime is 3666935971. The next prime is 3666936011. The reversal of 3666936000 is 6396663.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3666936000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 50231964 + ... + 50232036.

It is an arithmetic number, because the mean of its divisors is an integer number (17593056).

Almost surely, 2^3666936000 is an apocalyptic number.

3666936000 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 3666936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7881689088).

3666936000 is an abundant number, since it is smaller than the sum of its proper divisors (12096442176).

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

3666936000 is a wasteful number, since it uses less digits than its factorization.

3666936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The square root of 3666936000 is about 60555.2309879171. The cubic root of 3666936000 is about 1542.0594249701.

The spelling of 3666936000 in words is "three billion, six hundred sixty-six million, nine hundred thirty-six thousand".