323879040 has 128 divisors (see below), whose sum is σ = 1147132800. Its totient is φ = 86363136.

The previous prime is 323878981. The next prime is 323879063. The reversal of 323879040 is 40978323.

323879040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 323878986 and 323879004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7909 + ... + 26651.

It is an arithmetic number, because the mean of its divisors is an integer number (8961975).

Almost surely, 2^323879040 is an apocalyptic number.

323879040 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 323879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573566400).

323879040 is an abundant number, since it is smaller than the sum of its proper divisors (823253760).

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

323879040 is a wasteful number, since it uses less digits than its factorization.

323879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18771 (or 18753 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 323879040 is about 17996.6396863414. The cubic root of 323879040 is about 686.7430628965.

The spelling of 323879040 in words is "three hundred twenty-three million, eight hundred seventy-nine thousand, forty".