3410101034340 has 1152 divisors, whose sum is σ = 13469596697088. Its totient is φ = 633187860480.

The previous prime is 3410101034339. The next prime is 3410101034383. The reversal of 3410101034340 is 434301010143.

It is a self number, because there is not a number n which added to its sum of digits gives 3410101034340.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3997773354 + ... + 3997774206.

It is an arithmetic number, because the mean of its divisors is an integer number (11692358244).

Almost surely, 2^{3410101034340} is an apocalyptic number.

3410101034340 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 3410101034340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734798348544).

3410101034340 is an abundant number, since it is smaller than the sum of its proper divisors (10059495662748).

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

3410101034340 is a wasteful number, since it uses less digits than its factorization.

3410101034340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3410101034340 its reverse (434301010143), we get a palindrome (3844402044483).

The spelling of 3410101034340 in words is "three trillion, four hundred ten billion, one hundred one million, thirty-four thousand, three hundred forty".