34073032 has 48 divisors (see below), whose sum is σ = 78704460. Its totient is φ = 13741056.

The previous prime is 34073029. The next prime is 34073047. The reversal of 34073032 is 23037043.

It can be written as a sum of positive squares in 2 ways, for example, as 32787076 + 1285956 = 5726^2 + 1134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34072994 and 34073012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4108 + ... + 9220.

Almost surely, 2^34073032 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 34073032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39352230).

34073032 is an abundant number, since it is smaller than the sum of its proper divisors (44631428).

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

34073032 is a wasteful number, since it uses less digits than its factorization.

34073032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 22.

The square root of 34073032 is about 5837.2109778558. The cubic root of 34073032 is about 324.1929704500.

It can be divided in two parts, 3 and 4073032, that multiplied together give a triangular number (12219096 = T₄₉₄₃).

The spelling of 34073032 in words is "thirty-four million, seventy-three thousand, thirty-two".