3706003314 has 128 divisors (see below), whose sum is σ = 9638092800. Its totient is φ = 1045327680.

The previous prime is 3706003313. The next prime is 3706003321. The reversal of 3706003314 is 4133006073.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (3706003313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408997 + ... + 417959.

It is an arithmetic number, because the mean of its divisors is an integer number (75297600).

Almost surely, 2^3706003314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3706003314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4819046400).

3706003314 is an abundant number, since it is smaller than the sum of its proper divisors (5932089486).

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

3706003314 is a wasteful number, since it uses less digits than its factorization.

3706003314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9037 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The square root of 3706003314 is about 60876.9522397434. The cubic root of 3706003314 is about 1547.5164269846.

Adding to 3706003314 its reverse (4133006073), we get a palindrome (7839009387).

The spelling of 3706003314 in words is "three billion, seven hundred six million, three thousand, three hundred fourteen".