34129368 has 96 divisors (see below), whose sum is σ = 113786400. Its totient is φ = 8999424.

The previous prime is 34129363. The next prime is 34129373. The reversal of 34129368 is 86392143.

It is an interprime number because it is at equal distance from previous prime (34129363) and next prime (34129373).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34129363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3948 + ... + 9156.

It is an arithmetic number, because the mean of its divisors is an integer number (1185275).

Almost surely, 2^34129368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34129368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56893200).

34129368 is an abundant number, since it is smaller than the sum of its proper divisors (79657032).

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

34129368 is a wasteful number, since it uses less digits than its factorization.

34129368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5234 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 34129368 is about 5842.0345770973. The cubic root of 34129368 is about 324.3715445075.

The spelling of 34129368 in words is "thirty-four million, one hundred twenty-nine thousand, three hundred sixty-eight".