34066032 has 160 divisors (see below), whose sum is σ = 118325760. Its totient is φ = 8156160.

The previous prime is 34066003. The next prime is 34066033. The reversal of 34066032 is 23066043.

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

It is a junction number, because it is equal to n+sod(n) for n = 34065993 and 34066011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47694 + ... + 48402.

It is an arithmetic number, because the mean of its divisors is an integer number (739536).

Almost surely, 2^34066032 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 34066032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59162880).

34066032 is an abundant number, since it is smaller than the sum of its proper divisors (84259728).

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

34066032 is a wasteful number, since it uses less digits than its factorization.

34066032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 34066032 is about 5836.6113456354. The cubic root of 34066032 is about 324.1707680797.

The spelling of 34066032 in words is "thirty-four million, sixty-six thousand, thirty-two", and thus it is an eban number.