3414411120120 has 384 divisors, whose sum is σ = 13857348395520. Its totient is φ = 654911769600.

The previous prime is 3414411120059. The next prime is 3414411120137. The reversal of 3414411120120 is 210211144143.

It is a happy number.

It is a super-2 number, since 2×3414411120120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29275 + ... + 2613365.

It is an arithmetic number, because the mean of its divisors is an integer number (36086844780).

Almost surely, 2^{3414411120120} is an apocalyptic number.

3414411120120 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 3414411120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928674197760).

3414411120120 is an abundant number, since it is smaller than the sum of its proper divisors (10442937275400).

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

3414411120120 is a wasteful number, since it uses less digits than its factorization.

3414411120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2584147 (or 2584132 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 3414411120120 its reverse (210211144143), we get a palindrome (3624622264263).

The spelling of 3414411120120 in words is "three trillion, four hundred fourteen billion, four hundred eleven million, one hundred twenty thousand, one hundred twenty".