3766048900 has 144 divisors (see below), whose sum is σ = 8871932160. Its totient is φ = 1383091200.

The previous prime is 3766048817. The next prime is 3766048901. The reversal of 3766048900 is 98406673.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3766048901) 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 47 ways as a sum of consecutive naturals, for example, 16163184 + ... + 16163416.

It is an arithmetic number, because the mean of its divisors is an integer number (61610640).

Almost surely, 2^3766048900 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 3766048900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435966080).

3766048900 is an abundant number, since it is smaller than the sum of its proper divisors (5105883260).

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

3766048900 is a wasteful number, since it uses less digits than its factorization.

3766048900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 3766048900 is about 61368.1423867466. The cubic root of 3766048900 is about 1555.8294393222.

The spelling of 3766048900 in words is "three billion, seven hundred sixty-six million, forty-eight thousand, nine hundred".