34020432 has 80 divisors (see below), whose sum is σ = 99328960. Its totient is φ = 11145600.

The previous prime is 34020421. The next prime is 34020457. The reversal of 34020432 is 23402043.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25707 + ... + 26997.

It is an arithmetic number, because the mean of its divisors is an integer number (1241612).

Almost surely, 2^34020432 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 34020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49664480).

34020432 is an abundant number, since it is smaller than the sum of its proper divisors (65308528).

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

34020432 is a wasteful number, since it uses less digits than its factorization.

34020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34020432 is about 5832.7036612535. The cubic root of 34020432 is about 324.0260610039.

Adding to 34020432 its reverse (23402043), we get a palindrome (57422475).

It can be divided in two parts, 3402043 and 2, that multiplied together give a palindrome (6804086).

The spelling of 34020432 in words is "thirty-four million, twenty thousand, four hundred thirty-two".