3252809202240 has 896 divisors, whose sum is σ = 11761085952000. Its totient is φ = 756062060544.

The previous prime is 3252809202101. The next prime is 3252809202287. The reversal of 3252809202240 is 422029082523.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7409587941 + ... + 7409588379.

It is an arithmetic number, because the mean of its divisors is an integer number (13126212000).

Almost surely, 2^{3252809202240} is an apocalyptic number.

3252809202240 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 3252809202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880542976000).

3252809202240 is an abundant number, since it is smaller than the sum of its proper divisors (8508276749760).

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

3252809202240 is a wasteful number, since it uses less digits than its factorization.

3252809202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 3252809202240 in words is "three trillion, two hundred fifty-two billion, eight hundred nine million, two hundred two thousand, two hundred forty".