383971968 has 64 divisors (see below), whose sum is σ = 1133260800. Its totient is φ = 127989504.

The previous prime is 383971963. The next prime is 383971981. The reversal of 383971968 is 869179383.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×383971968³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (383971963) 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 in 7 ways as a sum of consecutive naturals, for example, 52096 + ... + 59007.

It is an arithmetic number, because the mean of its divisors is an integer number (17707200).

Almost surely, 2^383971968 is an apocalyptic number.

It is an amenable number.

383971968 is an abundant number, since it is smaller than the sum of its proper divisors (749288832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

383971968 is a wasteful number, since it uses less digits than its factorization.

383971968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111126 (or 111108 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 383971968 is about 19595.2026782067. The cubic root of 383971968 is about 726.8305500620.

The spelling of 383971968 in words is "three hundred eighty-three million, nine hundred seventy-one thousand, nine hundred sixty-eight".