3240742336200 has 288 divisors, whose sum is σ = 11280972792960. Its totient is φ = 833185267200.

The previous prime is 3240742336151. The next prime is 3240742336207. The reversal of 3240742336200 is 26332470423.

3240742336200 is a `hidden beast` number, since 3 + 2 + 4 + 0 + 7 + 4 + 23 + 3 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3240742336207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5382330 + ... + 5954070.

It is an arithmetic number, because the mean of its divisors is an integer number (39170044420).

Almost surely, 2^{3240742336200} is an apocalyptic number.

3240742336200 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 3240742336200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5640486396480).

3240742336200 is an abundant number, since it is smaller than the sum of its proper divisors (8040230456760).

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

3240742336200 is a wasteful number, since it uses less digits than its factorization.

3240742336200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571877 (or 571865 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 3240742336200 in words is "three trillion, two hundred forty billion, seven hundred forty-two million, three hundred thirty-six thousand, two hundred".