3764066416200 has 144 divisors (see below), whose sum is σ = 12647793549300. Its totient is φ = 1003210790400.

The previous prime is 3764066416063. The next prime is 3764066416211. The reversal of 3764066416200 is 26146604673.

It is a happy number.

3764066416200 is a `hidden beast` number, since 37 + 6 + 406 + 6 + 4 + 1 + 6 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 728882232516 + 3035184183684 = 853746^2 + 1742178^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2787966 + ... + 3911634.

Almost surely, 2^{3764066416200} is an apocalyptic number.

3764066416200 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 3764066416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6323896774650).

3764066416200 is an abundant number, since it is smaller than the sum of its proper divisors (8883727133100).

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

3764066416200 is a wasteful number, since it uses less digits than its factorization.

3764066416200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125552 (or 1125540 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3764066416200 in words is "three trillion, seven hundred sixty-four billion, sixty-six million, four hundred sixteen thousand, two hundred".