319821048 has 224 divisors, whose sum is σ = 975830400. Its totient is φ = 97977600.

The previous prime is 319821037. The next prime is 319821067. The reversal of 319821048 is 840128913.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5242938 + ... + 5242998.

Almost surely, 2^319821048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 319821048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487915200).

319821048 is an abundant number, since it is smaller than the sum of its proper divisors (656009352).

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

319821048 is a wasteful number, since it uses less digits than its factorization.

319821048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 319821048 is about 17883.5412600525. The cubic root of 319821048 is about 683.8628533894.

The spelling of 319821048 in words is "three hundred nineteen million, eight hundred twenty-one thousand, forty-eight".