3688996296977 has 32 divisors (see below), whose sum is σ = 3876845527968. Its totient is φ = 3506751553536.

The previous prime is 3688996296971. The next prime is 3688996296983. The reversal of 3688996296977 is 7796926998863.

It is a happy number.

It is a Cunningham number, because it is equal to 1920676²+1.

It is an interprime number because it is at equal distance from previous prime (3688996296971) and next prime (3688996296983).

It can be written as a sum of positive squares in 16 ways, for example, as 388030572241 + 3300965724736 = 622921^2 + 1816856^2 .

It is a cyclic number.

It is not a de Polignac number, because 3688996296977 - 2⁴ = 3688996296961 is a prime.

It is a super-2 number, since 2×3688996296977² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3688996296892 and 3688996296901.

It is not an unprimeable number, because it can be changed into a prime (3688996296971) 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 31 ways as a sum of consecutive naturals, for example, 901291943 + ... + 901296035.

It is an arithmetic number, because the mean of its divisors is an integer number (121151422749).

Almost surely, 2^{3688996296977} is an apocalyptic number.

3688996296977 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

3688996296977 is a deficient number, since it is larger than the sum of its proper divisors (187849230991).

3688996296977 is a wasteful number, since it uses less digits than its factorization.

3688996296977 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269.

The product of its digits is 26665583616, while the sum is 89.

The spelling of 3688996296977 in words is "three trillion, six hundred eighty-eight billion, nine hundred ninety-six million, two hundred ninety-six thousand, nine hundred seventy-seven".