3766276900 has 135 divisors (see below), whose sum is σ = 9164176259. Its totient is φ = 1343266560.

The previous prime is 3766276817. The next prime is 3766276949. The reversal of 3766276900 is 96726673.

The square root of 3766276900 is 61370.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 88096996 + 3678179904 = 9386^2 + 60648^2 .

It is a super-2 number, since 2×3766276900² = 28369683374947220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 198225091 + ... + 198225109.

Almost surely, 2^3766276900 is an apocalyptic number.

3766276900 is the 61370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3766276900

3766276900 is an abundant number, since it is smaller than the sum of its proper divisors (5397899359).

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

3766276900 is an equidigital number, since it uses as much as digits as its factorization.

3766276900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 46.

The cubic root of 3766276900 is about 1555.8608357949.

The spelling of 3766276900 in words is "three billion, seven hundred sixty-six million, two hundred seventy-six thousand, nine hundred".