34034112 has 168 divisors, whose sum is σ = 116653056. Its totient is φ = 9275904.

The previous prime is 34034087. The next prime is 34034129. The reversal of 34034112 is 21143043.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 92553 + ... + 92919.

Almost surely, 2^34034112 is an apocalyptic number.

34034112 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 34034112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58326528).

34034112 is an abundant number, since it is smaller than the sum of its proper divisors (82618944).

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

34034112 is a wasteful number, since it uses less digits than its factorization.

34034112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 34034112 is about 5833.8762414025. The cubic root of 34034112 is about 324.0694866968.

Adding to 34034112 its reverse (21143043), we get a palindrome (55177155).

The spelling of 34034112 in words is "thirty-four million, thirty-four thousand, one hundred twelve".