3238143360 has 128 divisors (see below), whose sum is σ = 10384416000. Its totient is φ = 858249216.

The previous prime is 3238143341. The next prime is 3238143367. The reversal of 3238143360 is 633418323.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3238143367) 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, 315591 + ... + 325689.

It is an arithmetic number, because the mean of its divisors is an integer number (81128250).

Almost surely, 2^3238143360 is an apocalyptic number.

3238143360 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 3238143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192208000).

3238143360 is an abundant number, since it is smaller than the sum of its proper divisors (7146272640).

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

3238143360 is a wasteful number, since it uses less digits than its factorization.

3238143360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10288 (or 10276 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 3238143360 is about 56904.6866259713. The cubic root of 3238143360 is about 1479.4445444202. Note that the first 3 decimals are identical.

The spelling of 3238143360 in words is "three billion, two hundred thirty-eight million, one hundred forty-three thousand, three hundred sixty".