3240719040 has 448 divisors, whose sum is σ = 11879884800. Its totient is φ = 741851136.

The previous prime is 3240719039. The next prime is 3240719051. The reversal of 3240719040 is 409170423.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3240718989 and 3240719007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18732394 + ... + 18732566.

It is an arithmetic number, because the mean of its divisors is an integer number (26517600).

Almost surely, 2^3240719040 is an apocalyptic number.

3240719040 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 3240719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939942400).

3240719040 is an abundant number, since it is smaller than the sum of its proper divisors (8639165760).

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

3240719040 is a wasteful number, since it uses less digits than its factorization.

3240719040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3240719040 is about 56927.3136552218. The cubic root of 3240719040 is about 1479.8366997813.

Adding to 3240719040 its reverse (409170423), we get a palindrome (3649889463).

The spelling of 3240719040 in words is "three billion, two hundred forty million, seven hundred nineteen thousand, forty".