3414112134030 has 192 divisors, whose sum is σ = 9653144941440. Its totient is φ = 832175078400.

The previous prime is 3414112133987. The next prime is 3414112134047. The reversal of 3414112134030 is 304312114143.

3414112134030 is a `hidden beast` number, since 3 + 4 + 1 + 41 + 1 + 213 + 403 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3414112133985 and 3414112134003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 233500120 + ... + 233514740.

It is an arithmetic number, because the mean of its divisors is an integer number (50276796570).

Almost surely, 2^{3414112134030} is an apocalyptic number.

3414112134030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414112134030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4826572470720).

3414112134030 is an abundant number, since it is smaller than the sum of its proper divisors (6239032807410).

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

3414112134030 is a wasteful number, since it uses less digits than its factorization.

3414112134030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16587 (or 16584 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 3414112134030 its reverse (304312114143), we get a palindrome (3718424248173).

The spelling of 3414112134030 in words is "three trillion, four hundred fourteen billion, one hundred twelve million, one hundred thirty-four thousand, thirty".