384400107 has 64 divisors (see below), whose sum is σ = 742210560. Its totient is φ = 190812672.

The previous prime is 384400069. The next prime is 384400139. The reversal of 384400107 is 701004483.

It is not a de Polignac number, because 384400107 - 2¹⁰ = 384399083 is a prime.

It is a super-2 number, since 2×384400107² = 295526884523222898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (384400207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37168 + ... + 46370.

It is an arithmetic number, because the mean of its divisors is an integer number (11597040).

Almost surely, 2^384400107 is an apocalyptic number.

384400107 is a deficient number, since it is larger than the sum of its proper divisors (357810453).

384400107 is a wasteful number, since it uses less digits than its factorization.

384400107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9249 (or 9243 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 384400107 is about 19606.1242217834. The cubic root of 384400107 is about 727.1005948767.

The spelling of 384400107 in words is "three hundred eighty-four million, four hundred thousand, one hundred seven".