3766782292 has 72 divisors (see below), whose sum is σ = 8414057736. Its totient is φ = 1461987072.

The previous prime is 3766782263. The next prime is 3766782301. The reversal of 3766782292 is 2922876673.

It can be written as a sum of positive squares in 4 ways, for example, as 1535542596 + 2231239696 = 39186^2 + 47236^2 .

It is a super-3 number, since 3×3766782292³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121098 + ... + 148990.

It is an arithmetic number, because the mean of its divisors is an integer number (116861913).

Almost surely, 2^3766782292 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 3766782292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4207028868).

3766782292 is an abundant number, since it is smaller than the sum of its proper divisors (4647275444).

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

3766782292 is a wasteful number, since it uses less digits than its factorization.

3766782292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27977 (or 27968 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 52.

The square root of 3766782292 is about 61374.1174437564. The cubic root of 3766782292 is about 1555.9304256906.

The spelling of 3766782292 in words is "three billion, seven hundred sixty-six million, seven hundred eighty-two thousand, two hundred ninety-two".