3242134320 has 80 divisors (see below), whose sum is σ = 10071617280. Its totient is φ = 862762752.

The previous prime is 3242134279. The next prime is 3242134321. The reversal of 3242134320 is 234312423.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3242134320² = 21022869897843724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3242134321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103011 + ... + 130749.

It is an arithmetic number, because the mean of its divisors is an integer number (125895216).

Almost surely, 2^3242134320 is an apocalyptic number.

3242134320 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 3242134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5035808640).

3242134320 is an abundant number, since it is smaller than the sum of its proper divisors (6829482960).

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

3242134320 is a wasteful number, since it uses less digits than its factorization.

3242134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28242 (or 28236 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3242134320 is about 56939.7428866692. The cubic root of 3242134320 is about 1480.0520921523.

Adding to 3242134320 its reverse (234312423), we get a palindrome (3476446743).

The spelling of 3242134320 in words is "three billion, two hundred forty-two million, one hundred thirty-four thousand, three hundred twenty".