3766400000 has 264 divisors, whose sum is σ = 10362274272. Its totient is φ = 1356800000.

The previous prime is 3766399999. The next prime is 3766400009. The reversal of 3766400000 is 46673.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766400009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35199947 + ... + 35200053.

Almost surely, 2^3766400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3766400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181137136).

3766400000 is an abundant number, since it is smaller than the sum of its proper divisors (6595874272).

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

3766400000 is an equidigital number, since it uses as much as digits as its factorization.

3766400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 3766400000 is about 61371.0029248341. The cubic root of 3766400000 is about 1555.8777866093.

Adding to 3766400000 its reverse (46673), we get a palindrome (3766446673).

The spelling of 3766400000 in words is "three billion, seven hundred sixty-six million, four hundred thousand".