3709627617661 has 16 divisors (see below), whose sum is σ = 4302948792960. Its totient is φ = 3132152179200.

The previous prime is 3709627617581. The next prime is 3709627617667. The reversal of 3709627617661 is 1667167269073.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3709627617661 is a prime.

It is a super-3 number, since 3×3709627617661³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3709627617661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3709627617667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38128485 + ... + 38225653.

It is an arithmetic number, because the mean of its divisors is an integer number (268934299560).

Almost surely, 2^{3709627617661} is an apocalyptic number.

It is an amenable number.

3709627617661 is a deficient number, since it is larger than the sum of its proper divisors (593321175299).

3709627617661 is an equidigital number, since it uses as much as digits as its factorization.

3709627617661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178644.

The product of its (nonzero) digits is 24004512, while the sum is 61.

The spelling of 3709627617661 in words is "three trillion, seven hundred nine billion, six hundred twenty-seven million, six hundred seventeen thousand, six hundred sixty-one".