1324434672 has 160 divisors (see below), whose sum is σ = 4365792000. Its totient is φ = 380194560.

The previous prime is 1324434659. The next prime is 1324434679. The reversal of 1324434672 is 2764344231.

1324434672 is a `hidden beast` number, since 1 + 3 + 244 + 346 + 72 = 666.

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 (1324434679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82954 + ... + 97622.

It is an arithmetic number, because the mean of its divisors is an integer number (27286200).

Almost surely, 2^1324434672 is an apocalyptic number.

1324434672 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 1324434672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182896000).

1324434672 is an abundant number, since it is smaller than the sum of its proper divisors (3041357328).

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

1324434672 is a wasteful number, since it uses less digits than its factorization.

1324434672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14716 (or 14704 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 1324434672 is about 36392.7832406371. The cubic root of 1324434672 is about 1098.1883877540.

The spelling of 1324434672 in words is "one billion, three hundred twenty-four million, four hundred thirty-four thousand, six hundred seventy-two".