3493598282790 has 256 divisors, whose sum is σ = 10584087920640. Its totient is φ = 716917754880.

The previous prime is 3493598282777. The next prime is 3493598282791. The reversal of 3493598282790 is 972828953943.

It is a happy number.

3493598282790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3493598282791) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 87300306 + ... + 87340314.

It is an arithmetic number, because the mean of its divisors is an integer number (41344093440).

Almost surely, 2^{3493598282790} is an apocalyptic number.

3493598282790 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 3493598282790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5292043960320).

3493598282790 is an abundant number, since it is smaller than the sum of its proper divisors (7090489637850).

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

3493598282790 is a wasteful number, since it uses less digits than its factorization.

3493598282790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40507.

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 3493598282790 in words is "three trillion, four hundred ninety-three billion, five hundred ninety-eight million, two hundred eighty-two thousand, seven hundred ninety".