34986432 has 112 divisors (see below), whose sum is σ = 101388672. Its totient is φ = 10583040.

The previous prime is 34986403. The next prime is 34986433. The reversal of 34986432 is 23468943.

It is a super-3 number, since 3×34986432³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (124416) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34986433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267007 + ... + 267137.

It is an arithmetic number, because the mean of its divisors is an integer number (905256).

Almost surely, 2^34986432 is an apocalyptic number.

34986432 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 34986432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50694336).

34986432 is an abundant number, since it is smaller than the sum of its proper divisors (66402240).

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

34986432 is a wasteful number, since it uses less digits than its factorization.

34986432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 256 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 34986432 is about 5914.9329666531. The cubic root of 34986432 is about 327.0643571485.

The spelling of 34986432 in words is "thirty-four million, nine hundred eighty-six thousand, four hundred thirty-two".