3410304340020 has 384 divisors, whose sum is σ = 10738151424000. Its totient is φ = 805297489920.

The previous prime is 3410304339973. The next prime is 3410304340021. The reversal of 3410304340020 is 200434030143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410304340021) 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, 135214971 + ... + 135240189.

It is an arithmetic number, because the mean of its divisors is an integer number (27963936000).

Almost surely, 2^{3410304340020} is an apocalyptic number.

3410304340020 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 3410304340020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369075712000).

3410304340020 is an abundant number, since it is smaller than the sum of its proper divisors (7327847083980).

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

3410304340020 is a wasteful number, since it uses less digits than its factorization.

3410304340020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25423 (or 25421 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3410304340020 its reverse (200434030143), we get a palindrome (3610738370163).

The spelling of 3410304340020 in words is "three trillion, four hundred ten billion, three hundred four million, three hundred forty thousand, twenty".