38401144607607 has 8 divisors (see below), whose sum is σ = 54213380622576. Its totient is φ = 24094835832192.

The previous prime is 38401144607599. The next prime is 38401144607669. The reversal of 38401144607607 is 70670644110483.

It is a happy number.

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

It is not a de Polignac number, because 38401144607607 - 2³ = 38401144607599 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (51), and also a Moran number because the ratio is a prime number: 752963619757 = 38401144607607 / (3 + 8 + 4 + 0 + 1 + 1 + 4 + 4 + 6 + 0 + 7 + 6 + 0 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 38401144607607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38401144606607) 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, 376481809828 + ... + 376481809929.

It is an arithmetic number, because the mean of its divisors is an integer number (6776672577822).

Almost surely, 2^{38401144607607} is an apocalyptic number.

38401144607607 is a deficient number, since it is larger than the sum of its proper divisors (15812236014969).

38401144607607 is a wasteful number, since it uses less digits than its factorization.

38401144607607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752963619777.

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 38401144607607 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-four million, six hundred seven thousand, six hundred seven".