38382085334307 has 32 divisors (see below), whose sum is σ = 60123395566080. Its totient is φ = 21472349310720.

The previous prime is 38382085334279. The next prime is 38382085334311. The reversal of 38382085334307 is 70343358028383.

It is a happy number.

It is not a de Polignac number, because 38382085334307 - 2⁷ = 38382085334179 is a prime.

It is a super-2 number, since 2×38382085334307² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38382085334357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106695919 + ... + 107055047.

It is an arithmetic number, because the mean of its divisors is an integer number (1878856111440).

Almost surely, 2^{38382085334307} is an apocalyptic number.

38382085334307 is a deficient number, since it is larger than the sum of its proper divisors (21741310231773).

38382085334307 is a wasteful number, since it uses less digits than its factorization.

38382085334307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608283.

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 38382085334307 in words is "thirty-eight trillion, three hundred eighty-two billion, eighty-five million, three hundred thirty-four thousand, three hundred seven".