34225440 has 96 divisors (see below), whose sum is σ = 108936576. Its totient is φ = 9031680.

The previous prime is 34225427. The next prime is 34225459. The reversal of 34225440 is 4452243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34225440.

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, 53925 + ... + 54555.

It is an arithmetic number, because the mean of its divisors is an integer number (1134756).

Almost surely, 2^34225440 is an apocalyptic number.

34225440 is a gapful number since it is divisible by the number (30) 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 34225440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54468288).

34225440 is an abundant number, since it is smaller than the sum of its proper divisors (74711136).

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

34225440 is a wasteful number, since it uses less digits than its factorization.

34225440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 34225440 is about 5850.2512766547. The cubic root of 34225440 is about 324.6756211219.

Adding to 34225440 its reverse (4452243), we get a palindrome (38677683).

The spelling of 34225440 in words is "thirty-four million, two hundred twenty-five thousand, four hundred forty".