38395580401 has 16 divisors (see below), whose sum is σ = 40945441680. Its totient is φ = 35878993920.

The previous prime is 38395580387. The next prime is 38395580429. The reversal of 38395580401 is 10408559383.

38395580401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2674958400 + 35720622001 = 51720^2 + 188999^2 .

It is a cyclic number.

It is not a de Polignac number, because 38395580401 - 2⁹ = 38395579889 is a prime.

It is a super-5 number, since 5×38395580401⁵ (a number of 54 digits) contains 55555 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38395580471) 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, 1366785 + ... + 1394593.

It is an arithmetic number, because the mean of its divisors is an integer number (2559090105).

Almost surely, 2^38395580401 is an apocalyptic number.

It is an amenable number.

38395580401 is a deficient number, since it is larger than the sum of its proper divisors (2549861279).

38395580401 is a wasteful number, since it uses less digits than its factorization.

38395580401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28404.

The product of its (nonzero) digits is 518400, while the sum is 46.

The spelling of 38395580401 in words is "thirty-eight billion, three hundred ninety-five million, five hundred eighty thousand, four hundred one".