3628938706401 has 8 divisors (see below), whose sum is σ = 4838662334880. Its totient is φ = 2419253774432.

The previous prime is 3628938706333. The next prime is 3628938706409. The reversal of 3628938706401 is 1046078398263.

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 3628938706401 - 2¹⁷ = 3628938575329 is a prime.

It is a super-2 number, since 2×3628938706401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3628938706409) 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, 9454596 + ... + 9830933.

It is an arithmetic number, because the mean of its divisors is an integer number (604832791860).

Almost surely, 2^{3628938706401} is an apocalyptic number.

It is an amenable number.

3628938706401 is a deficient number, since it is larger than the sum of its proper divisors (1209723628479).

3628938706401 is a wasteful number, since it uses less digits than its factorization.

3628938706401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19348255.

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 3628938706401 in words is "three trillion, six hundred twenty-eight billion, nine hundred thirty-eight million, seven hundred six thousand, four hundred one".