3766136766 has 48 divisors (see below), whose sum is σ = 8807564304. Its totient is φ = 1070447616.

The previous prime is 3766136761. The next prime is 3766136791. The reversal of 3766136766 is 6676316673.

It is a super-2 number, since 2×3766136766² = 28367572280433877512, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3766136761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23556 + ... + 89928.

It is an arithmetic number, because the mean of its divisors is an integer number (183490923).

Almost surely, 2^3766136766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3766136766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4403782152).

3766136766 is an abundant number, since it is smaller than the sum of its proper divisors (5041427538).

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

3766136766 is a wasteful number, since it uses less digits than its factorization.

3766136766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66585 (or 66578 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 51.

The square root of 3766136766 is about 61368.8582751871. The cubic root of 3766136766 is about 1555.8415389568.

The spelling of 3766136766 in words is "three billion, seven hundred sixty-six million, one hundred thirty-six thousand, seven hundred sixty-six".