34019832 has 128 divisors (see below), whose sum is σ = 108864000. Its totient is φ = 8601600.

The previous prime is 34019831. The next prime is 34019857. The reversal of 34019832 is 23891043.

It is a self number, because there is not a number n which added to its sum of digits gives 34019832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34019831) 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, 75544 + ... + 75992.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^34019832 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 34019832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54432000).

34019832 is an abundant number, since it is smaller than the sum of its proper divisors (74844168).

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

34019832 is a wasteful number, since it uses less digits than its factorization.

34019832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 34019832 is about 5832.6522269033. The cubic root of 34019832 is about 324.0241561017.

The spelling of 34019832 in words is "thirty-four million, nineteen thousand, eight hundred thirty-two".