3434114112 has 448 divisors, whose sum is σ = 11675059200. Its totient is φ = 874782720.

The previous prime is 3434114111. The next prime is 3434114119. The reversal of 3434114112 is 2114114343.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3434114111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15128143 + ... + 15128369.

It is an arithmetic number, because the mean of its divisors is an integer number (26060400).

Almost surely, 2^3434114112 is an apocalyptic number.

3434114112 is a gapful number since it is divisible by the number (32) 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 3434114112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837529600).

3434114112 is an abundant number, since it is smaller than the sum of its proper divisors (8240945088).

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

3434114112 is a wasteful number, since it uses less digits than its factorization.

3434114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 3434114112 is about 58601.3149340525. The cubic root of 3434114112 is about 1508.7070071150.

Adding to 3434114112 its reverse (2114114343), we get a palindrome (5548228455).

The spelling of 3434114112 in words is "three billion, four hundred thirty-four million, one hundred fourteen thousand, one hundred twelve".