34428384 has 72 divisors (see below), whose sum is σ = 98614152. Its totient is φ = 11393280.

The previous prime is 34428377. The next prime is 34428403. The reversal of 34428384 is 48382443.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 49479 + ... + 50169.

It is an arithmetic number, because the mean of its divisors is an integer number (1369641).

Almost surely, 2^34428384 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 34428384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49307076).

34428384 is an abundant number, since it is smaller than the sum of its proper divisors (64185768).

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

34428384 is a wasteful number, since it uses less digits than its factorization.

34428384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 869 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 34428384 is about 5867.5705364316. The cubic root of 34428384 is about 325.3160916838.

The spelling of 34428384 in words is "thirty-four million, four hundred twenty-eight thousand, three hundred eighty-four".