34290432 has 216 divisors, whose sum is σ = 114177840. Its totient is φ = 10137600.

The previous prime is 34290407. The next prime is 34290437. The reversal of 34290432 is 23409243.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34290396 and 34290405.

It is not an unprimeable number, because it can be changed into a prime (34290437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 836332 + ... + 836372.

Almost surely, 2^34290432 is an apocalyptic number.

34290432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57088920).

34290432 is an abundant number, since it is smaller than the sum of its proper divisors (79887408).

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

34290432 is a wasteful number, since it uses less digits than its factorization.

34290432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34290432 is about 5855.8032753842. The cubic root of 34290432 is about 324.8810041678.

Adding to 34290432 its reverse (23409243), we get a palindrome (57699675).

The spelling of 34290432 in words is "thirty-four million, two hundred ninety thousand, four hundred thirty-two".