3240207360 has 440 divisors, whose sum is σ = 12525036216. Its totient is φ = 796262400.

The previous prime is 3240207349. The next prime is 3240207391. The reversal of 3240207360 is 637020423.

It can be written as a sum of positive squares in 4 ways, for example, as 308634624 + 2931572736 = 17568^2 + 54144^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5391060 + ... + 5391660.

Almost surely, 2^3240207360 is an apocalyptic number.

3240207360 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 3240207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6262518108).

3240207360 is an abundant number, since it is smaller than the sum of its proper divisors (9284828856).

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

3240207360 is a wasteful number, since it uses less digits than its factorization.

3240207360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3240207360 is about 56922.8193258205. The cubic root of 3240207360 is about 1479.7588114394.

Adding to 3240207360 its reverse (637020423), we get a palindrome (3877227783).

It can be divided in two parts, 3240 and 207360, that multiplied together give a square (671846400 = 25920²).

The spelling of 3240207360 in words is "three billion, two hundred forty million, two hundred seven thousand, three hundred sixty".