383906432 has 128 divisors (see below), whose sum is σ = 982920960. Its totient is φ = 145170432.

The previous prime is 383906423. The next prime is 383906521. The reversal of 383906432 is 234609383.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 267188 + ... + 268620.

It is an arithmetic number, because the mean of its divisors is an integer number (7679070).

Almost surely, 2^383906432 is an apocalyptic number.

383906432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383906432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491460480).

383906432 is an abundant number, since it is smaller than the sum of its proper divisors (599014528).

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

383906432 is a wasteful number, since it uses less digits than its factorization.

383906432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1478 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 38.

The square root of 383906432 is about 19593.5303608104. The cubic root of 383906432 is about 726.7891961081.

The spelling of 383906432 in words is "three hundred eighty-three million, nine hundred six thousand, four hundred thirty-two".