3766336704 has 252 divisors, whose sum is σ = 12131244216. Its totient is φ = 1158064128.

The previous prime is 3766336703. The next prime is 3766336747. The reversal of 3766336704 is 4076336673.

3766336704 is a `hidden beast` number, since 3 + 7 + 6 + 633 + 6 + 7 + 0 + 4 = 666.

3766336704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3766336704.

It is not an unprimeable number, because it can be changed into a prime (3766336703) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2627572 + ... + 2629004.

It is an arithmetic number, because the mean of its divisors is an integer number (48139858).

Almost surely, 2^3766336704 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 3766336704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065622108).

3766336704 is an abundant number, since it is smaller than the sum of its proper divisors (8364907512).

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

3766336704 is a wasteful number, since it uses less digits than its factorization.

3766336704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The square root of 3766336704 is about 61370.4872393889. The cubic root of 3766336704 is about 1555.8690708248.

The spelling of 3766336704 in words is "three billion, seven hundred sixty-six million, three hundred thirty-six thousand, seven hundred four".