34029072 has 300 divisors, whose sum is σ = 127714048. Its totient is φ = 8553600.

The previous prime is 34029071. The next prime is 34029077. The reversal of 34029072 is 27092043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34029071) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1097697 + ... + 1097727.

Almost surely, 2^34029072 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 34029072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63857024).

34029072 is an abundant number, since it is smaller than the sum of its proper divisors (93684976).

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

34029072 is a wasteful number, since it uses less digits than its factorization.

34029072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 34029072 is about 5833.4442656119. Note that the first 3 decimals coincide. The cubic root of 34029072 is about 324.0534891114.

The spelling of 34029072 in words is "thirty-four million, twenty-nine thousand, seventy-two".