319041632 has 72 divisors (see below), whose sum is σ = 775405008. Its totient is φ = 125832960.

The previous prime is 319041629. The next prime is 319041637. The reversal of 319041632 is 236140913.

It is a junction number, because it is equal to n+sod(n) for n = 319041595 and 319041604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319041637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 963707 + ... + 964037.

It is an arithmetic number, because the mean of its divisors is an integer number (10769514).

Almost surely, 2^319041632 is an apocalyptic number.

319041632 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 319041632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387702504).

319041632 is an abundant number, since it is smaller than the sum of its proper divisors (456363376).

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

319041632 is an equidigital number, since it uses as much as digits as its factorization.

319041632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 319041632 is about 17861.7365337192. The cubic root of 319041632 is about 683.3068682724.

The spelling of 319041632 in words is "three hundred nineteen million, forty-one thousand, six hundred thirty-two".