3706327261728 has 720 divisors, whose sum is σ = 13697778518424. Its totient is φ = 974446018560.

The previous prime is 3706327261723. The next prime is 3706327261751. The reversal of 3706327261728 is 8271627236073.

3706327261728 is a `hidden beast` number, since 37 + 0 + 6 + 327 + 261 + 7 + 28 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3040099113744 + 666228147984 = 1743588^2 + 816228^2 .

It is a super-2 number, since 2×3706327261728² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3706327261723) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 556418718 + ... + 556425378.

Almost surely, 2^{3706327261728} 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 3706327261728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848889259212).

3706327261728 is an abundant number, since it is smaller than the sum of its proper divisors (9991451256696).

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

3706327261728 is a wasteful number, since it uses less digits than its factorization.

3706327261728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7047 (or 7023 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 3706327261728 in words is "three trillion, seven hundred six billion, three hundred twenty-seven million, two hundred sixty-one thousand, seven hundred twenty-eight".