34428672 has 144 divisors (see below), whose sum is σ = 108168480. Its totient is φ = 10764288.

The previous prime is 34428619. The next prime is 34428679. The reversal of 34428672 is 27682443.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34428679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117358 + ... + 117650.

It is an arithmetic number, because the mean of its divisors is an integer number (751170).

Almost surely, 2^34428672 is an apocalyptic number.

34428672 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 34428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54084240).

34428672 is an abundant number, since it is smaller than the sum of its proper divisors (73739808).

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

34428672 is a wasteful number, since it uses less digits than its factorization.

34428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 315 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 34428672 is about 5867.5950780537. The cubic root of 34428672 is about 325.3169987917.

The spelling of 34428672 in words is "thirty-four million, four hundred twenty-eight thousand, six hundred seventy-two".