3040132320 has 144 divisors (see below), whose sum is σ = 10477670112. Its totient is φ = 802636800.

The previous prime is 3040132313. The next prime is 3040132351. The reversal of 3040132320 is 232310403.

3040132320 is a `hidden beast` number, since 30 + 401 + 3 + 232 + 0 = 666.

3040132320 is digitally balanced in base 2, 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 (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3040132293 and 3040132302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134989 + ... + 155891.

It is an arithmetic number, because the mean of its divisors is an integer number (72761598).

Almost surely, 2^3040132320 is an apocalyptic number.

3040132320 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 3040132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5238835056).

3040132320 is an abundant number, since it is smaller than the sum of its proper divisors (7437537792).

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

3040132320 is a wasteful number, since it uses less digits than its factorization.

3040132320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21025 (or 21014 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 3040132320 is about 55137.3949330216. The cubic root of 3040132320 is about 1448.6523062444.

Adding to 3040132320 its reverse (232310403), we get a palindrome (3272442723).

The spelling of 3040132320 in words is "three billion, forty million, one hundred thirty-two thousand, three hundred twenty".