323813376 has 170 divisors, whose sum is σ = 983294642. Its totient is φ = 106168320.

The previous prime is 323813363. The next prime is 323813377. The reversal of 323813376 is 673318323.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 191102976 + 132710400 = 13824^2 + 11520^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 323813376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (323813377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5308386 + ... + 5308446.

Almost surely, 2^323813376 is an apocalyptic number.

323813376 is a gapful number since it is divisible by the number (36) 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 323813376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491647321).

323813376 is an abundant number, since it is smaller than the sum of its proper divisors (659481266).

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

323813376 is an frugal number, since it uses more digits than its factorization.

323813376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 66 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 323813376 is about 17994.8152532889. The cubic root of 323813376 is about 686.6966491239.

The spelling of 323813376 in words is "three hundred twenty-three million, eight hundred thirteen thousand, three hundred seventy-six".