3414420023100 has 72 divisors (see below), whose sum is σ = 9894001462128. Its totient is φ = 909134476800.

The previous prime is 3414420023093. The next prime is 3414420023129. The reversal of 3414420023100 is 13200244143.

It is a super-2 number, since 2×3414420023100² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 8410929 + ... + 8807528.

It is an arithmetic number, because the mean of its divisors is an integer number (137416686974).

Almost surely, 2^{3414420023100} is an apocalyptic number.

3414420023100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3414420023100 is an abundant number, since it is smaller than the sum of its proper divisors (6479581439028).

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

3414420023100 is a wasteful number, since it uses less digits than its factorization.

3414420023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17219135 (or 17219128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3414420023100 its reverse (13200244143), we get a palindrome (3427620267243).

The spelling of 3414420023100 in words is "three trillion, four hundred fourteen billion, four hundred twenty million, twenty-three thousand, one hundred".