3410100000000 has 810 divisors, whose sum is σ = 12740560859642. Its totient is φ = 907200000000.

The previous prime is 3410099999987. The next prime is 3410100000001. The reversal of 3410100000000 is 10143.

It can be written as a sum of positive squares in 9 ways, for example, as 212469371136 + 3197630628864 = 460944^2 + 1788192^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410100000001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 8099999790 + ... + 8100000210.

Almost surely, 2^{3410100000000} is an apocalyptic number.

3410100000000 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 3410100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6370280429821).

3410100000000 is an abundant number, since it is smaller than the sum of its proper divisors (9330460859642).

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

3410100000000 is an frugal number, since it uses more digits than its factorization.

3410100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 3410100000000 its reverse (10143), we get a palindrome (3410100010143).

The spelling of 3410100000000 in words is "three trillion, four hundred ten billion, one hundred million", and thus it is an aban number.