1323353952 has 144 divisors (see below), whose sum is σ = 4029480000. Its totient is φ = 410717952.

The previous prime is 1323353929. The next prime is 1323353953. The reversal of 1323353952 is 2593533231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 (1323353953) 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, 320799 + ... + 324897.

It is an arithmetic number, because the mean of its divisors is an integer number (27982500).

Almost surely, 2^1323353952 is an apocalyptic number.

1323353952 is a gapful number since it is divisible by the number (12) 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 1323353952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014740000).

1323353952 is an abundant number, since it is smaller than the sum of its proper divisors (2706126048).

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

1323353952 is a wasteful number, since it uses less digits than its factorization.

1323353952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4182 counting only the distinct ones).

The product of its digits is 72900, while the sum is 36.

The square root of 1323353952 is about 36377.9322117132. The cubic root of 1323353952 is about 1097.8896043966.

The spelling of 1323353952 in words is "one billion, three hundred twenty-three million, three hundred fifty-three thousand, nine hundred fifty-two".