3766500000 has 504 divisors, whose sum is σ = 14332316544. Its totient is φ = 972000000.

The previous prime is 3766499993. The next prime is 3766500013. The reversal of 3766500000 is 56673.

3766500000 is a `hidden beast` number, since 3 + 7 + 6 + 650 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 121499985 + ... + 121500015.

It is an arithmetic number, because the mean of its divisors is an integer number (28437136).

Almost surely, 2^3766500000 is an apocalyptic number.

3766500000 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 3766500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7166158272).

3766500000 is an abundant number, since it is smaller than the sum of its proper divisors (10565816544).

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

3766500000 is an frugal number, since it uses more digits than its factorization.

3766500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3766500000 is about 61371.8176364364. The cubic root of 3766500000 is about 1555.8915562922.

Adding to 3766500000 its reverse (56673), we get a palindrome (3766556673).

The spelling of 3766500000 in words is "three billion, seven hundred sixty-six million, five hundred thousand".