3440225202240 has 224 divisors, whose sum is σ = 11240827611264. Its totient is φ = 890776535040.

The previous prime is 3440225202229. The next prime is 3440225202269. The reversal of 3440225202240 is 422025220443.

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 = 3440225202198 and 3440225202207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17341692 + ... + 17538948.

Almost surely, 2^{3440225202240} is an apocalyptic number.

3440225202240 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 3440225202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5620413805632).

3440225202240 is an abundant number, since it is smaller than the sum of its proper divisors (7800602409024).

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

3440225202240 is a wasteful number, since it uses less digits than its factorization.

3440225202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197805 (or 197795 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

The spelling of 3440225202240 in words is "three trillion, four hundred forty billion, two hundred twenty-five million, two hundred two thousand, two hundred forty".