3706329600 has 180 divisors, whose sum is σ = 13264342806. Its totient is φ = 988323840.

The previous prime is 3706329587. The next prime is 3706329607. The reversal of 3706329600 is 69236073.

It can be written as a sum of positive squares in 3 ways, for example, as 2574141696 + 1132187904 = 50736^2 + 33648^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3706329607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99114 + ... + 131286.

Almost surely, 2^3706329600 is an apocalyptic number.

3706329600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3706329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6632171403).

3706329600 is an abundant number, since it is smaller than the sum of its proper divisors (9558013206).

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

3706329600 is a wasteful number, since it uses less digits than its factorization.

3706329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32207 (or 32183 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3706329600 is about 60879.6320619631. The cubic root of 3706329600 is about 1547.5618414185.

The spelling of 3706329600 in words is "three billion, seven hundred six million, three hundred twenty-nine thousand, six hundred".