38362285832033 has 16 divisors (see below), whose sum is σ = 38653468978320. Its totient is φ = 38072435548416.

The previous prime is 38362285831993. The next prime is 38362285832051. The reversal of 38362285832033 is 33023858226383.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7685885709649 + 30676400122384 = 2772343^2 + 5538628^2 .

It is a cyclic number.

It is not a de Polignac number, because 38362285832033 - 2¹² = 38362285827937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38362285832033.

It is not an unprimeable number, because it can be changed into a prime (38362285832093) 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, 92395223 + ... + 92809491.

It is an arithmetic number, because the mean of its divisors is an integer number (2415841811145).

Almost surely, 2^{38362285832033} is an apocalyptic number.

It is an amenable number.

38362285832033 is a deficient number, since it is larger than the sum of its proper divisors (291183146287).

38362285832033 is a wasteful number, since it uses less digits than its factorization.

38362285832033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415876.

The product of its (nonzero) digits is 29859840, while the sum is 56.

The spelling of 38362285832033 in words is "thirty-eight trillion, three hundred sixty-two billion, two hundred eighty-five million, eight hundred thirty-two thousand, thirty-three".