3440958825690 has 128 divisors (see below), whose sum is σ = 9493488576000. Its totient is φ = 885837109248.

The previous prime is 3440958825641. The next prime is 3440958825701. The reversal of 3440958825690 is 965288590443.

3440958825690 is a `hidden beast` number, since 3 + 4 + 40 + 9 + 588 + 2 + 5 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×3440958825690² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75904851 + ... + 75950169.

It is an arithmetic number, because the mean of its divisors is an integer number (74167879500).

Almost surely, 2^{3440958825690} is an apocalyptic number.

3440958825690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440958825690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746744288000).

3440958825690 is an abundant number, since it is smaller than the sum of its proper divisors (6052529750310).

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

3440958825690 is a wasteful number, since it uses less digits than its factorization.

3440958825690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55061 (or 55055 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 3440958825690 in words is "three trillion, four hundred forty billion, nine hundred fifty-eight million, eight hundred twenty-five thousand, six hundred ninety".