3403420304100 has 144 divisors (see below), whose sum is σ = 10074105216000. Its totient is φ = 886852795520.

The previous prime is 3403420304093. The next prime is 3403420304107. The reversal of 3403420304100 is 14030243043.

It is an interprime number because it is at equal distance from previous prime (3403420304093) and next prime (3403420304107).

It is not an unprimeable number, because it can be changed into a prime (3403420304107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2380201 + ... + 3531599.

It is an arithmetic number, because the mean of its divisors is an integer number (69959064000).

Almost surely, 2^{3403420304100} is an apocalyptic number.

3403420304100 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 3403420304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5037052608000).

3403420304100 is an abundant number, since it is smaller than the sum of its proper divisors (6670684911900).

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

3403420304100 is a wasteful number, since it uses less digits than its factorization.

3403420304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151642 (or 1151635 counting only the distinct ones).

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

Adding to 3403420304100 its reverse (14030243043), we get a palindrome (3417450547143).

The spelling of 3403420304100 in words is "three trillion, four hundred three billion, four hundred twenty million, three hundred four thousand, one hundred".