319749120 has 264 divisors, whose sum is σ = 1153427184. Its totient is φ = 84934656.

The previous prime is 319749091. The next prime is 319749121. The reversal of 319749120 is 21947913.

319749120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (319749121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1244032 + ... + 1244288.

Almost surely, 2^319749120 is an apocalyptic number.

319749120 is a gapful number since it is divisible by the number (30) 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 319749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576713592).

319749120 is an abundant number, since it is smaller than the sum of its proper divisors (833678064).

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

319749120 is an equidigital number, since it uses as much as digits as its factorization.

319749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 319749120 is about 17881.5301358692. The cubic root of 319749120 is about 683.8115824515.

The spelling of 319749120 in words is "three hundred nineteen million, seven hundred forty-nine thousand, one hundred twenty".