3410427128100 has 72 divisors (see below), whose sum is σ = 9868180166880. Its totient is φ = 909384775680.

The previous prime is 3410427128063. The next prime is 3410427128117. The reversal of 3410427128100 is 18217240143.

It is a super-2 number, since 2×3410427128100² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4069956 + ... + 4835844.

Almost surely, 2^{3410427128100} is an apocalyptic number.

3410427128100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3410427128100 is an abundant number, since it is smaller than the sum of its proper divisors (6457753038780).

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

3410427128100 is a wasteful number, since it uses less digits than its factorization.

3410427128100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780749 (or 780742 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The spelling of 3410427128100 in words is "three trillion, four hundred ten billion, four hundred twenty-seven million, one hundred twenty-eight thousand, one hundred".