3688821508457 has 8 divisors (see below), whose sum is σ = 3691186701384. Its totient is φ = 3686456873088.

The previous prime is 3688821508451. The next prime is 3688821508469. The reversal of 3688821508457 is 7548051288863.

It can be written as a sum of positive squares in 4 ways, for example, as 2252546521 + 3686568961936 = 47461^2 + 1920044^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3688821508457 - 2¹⁰ = 3688821507433 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3688821508393 and 3688821508402.

It is not an unprimeable number, because it can be changed into a prime (3688821508451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13523573 + ... + 13793645.

It is an arithmetic number, because the mean of its divisors is an integer number (461398337673).

Almost surely, 2^{3688821508457} is an apocalyptic number.

It is an amenable number.

3688821508457 is a deficient number, since it is larger than the sum of its proper divisors (2365192927).

3688821508457 is a wasteful number, since it uses less digits than its factorization.

3688821508457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278779.

The product of its (nonzero) digits is 103219200, while the sum is 65.

The spelling of 3688821508457 in words is "three trillion, six hundred eighty-eight billion, eight hundred twenty-one million, five hundred eight thousand, four hundred fifty-seven".