313738740 has 288 divisors, whose sum is σ = 1171183104. Its totient is φ = 66355200.

The previous prime is 313738727. The next prime is 313738741. The reversal of 313738740 is 47837313.

313738740 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 junction number, because it is equal to n+sod(n) for n = 313738695 and 313738704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313738741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2077665 + ... + 2077815.

It is an arithmetic number, because the mean of its divisors is an integer number (4066608).

Almost surely, 2^313738740 is an apocalyptic number.

313738740 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 313738740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

313738740 is an abundant number, since it is smaller than the sum of its proper divisors (857444364).

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

313738740 is a wasteful number, since it uses less digits than its factorization.

313738740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 313738740 is about 17712.6717352296. The cubic root of 313738740 is about 679.4998773608.

The spelling of 313738740 in words is "three hundred thirteen million, seven hundred thirty-eight thousand, seven hundred forty".