34087032 has 96 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 9525312.

The previous prime is 34087013. The next prime is 34087043. The reversal of 34087032 is 23078043.

It is a junction number, because it is equal to n+sod(n) for n = 34086987 and 34087005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22969 + ... + 24407.

It is an arithmetic number, because the mean of its divisors is an integer number (1123200).

Almost surely, 2^34087032 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 34087032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

34087032 is an abundant number, since it is smaller than the sum of its proper divisors (73740168).

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

34087032 is a wasteful number, since it uses less digits than its factorization.

34087032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1498 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34087032 is about 5838.4100575414. The cubic root of 34087032 is about 324.2373660696.

It can be divided in two parts, 3408 and 7032, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 34087032 in words is "thirty-four million, eighty-seven thousand, thirty-two".