38400107 has 2 divisors, whose sum is σ = 38400108. Its totient is φ = 38400106.

The previous prime is 38400077. The next prime is 38400157. The reversal of 38400107 is 70100483.

It is a happy number.

38400107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 38400107 - 2²⁴ = 21622891 is a prime.

It is a super-2 number, since 2×38400107² = 2949136435222898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38400157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19200053 + 19200054.

It is an arithmetic number, because the mean of its divisors is an integer number (19200054).

Almost surely, 2^38400107 is an apocalyptic number.

38400107 is a deficient number, since it is larger than the sum of its proper divisors (1).

38400107 is an equidigital number, since it uses as much as digits as its factorization.

38400107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 38400107 is about 6196.7819874512. The cubic root of 38400107 is about 337.3733794791.

The spelling of 38400107 in words is "thirty-eight million, four hundred thousand, one hundred seven".