384146763 has 32 divisors (see below), whose sum is σ = 687708672. Its totient is φ = 184204800.

The previous prime is 384146729. The next prime is 384146783. The reversal of 384146763 is 367641483.

It is a happy number.

It is not a de Polignac number, because 384146763 - 2¹⁷ = 384015691 is a prime.

It is a super-3 number, since 3×384146763³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (384146783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60958 + ... + 66963.

It is an arithmetic number, because the mean of its divisors is an integer number (21490896).

Almost surely, 2^384146763 is an apocalyptic number.

384146763 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

384146763 is a deficient number, since it is larger than the sum of its proper divisors (303561909).

384146763 is a wasteful number, since it uses less digits than its factorization.

384146763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127955.

The product of its digits is 290304, while the sum is 42.

The square root of 384146763 is about 19599.6623185197. The cubic root of 384146763 is about 726.9408246681.

The spelling of 384146763 in words is "three hundred eighty-four million, one hundred forty-six thousand, seven hundred sixty-three".