34052640 has 96 divisors (see below), whose sum is σ = 109118016. Its totient is φ = 8924160.

The previous prime is 34052639. The next prime is 34052647. The reversal of 34052640 is 4625043.

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 34052640.

It is not an unprimeable number, because it can be changed into a prime (34052647) 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, 28699 + ... + 29861.

It is an arithmetic number, because the mean of its divisors is an integer number (1136646).

Almost surely, 2^34052640 is an apocalyptic number.

34052640 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 34052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54559008).

34052640 is an abundant number, since it is smaller than the sum of its proper divisors (75065376).

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

34052640 is a wasteful number, since it uses less digits than its factorization.

34052640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34052640 is about 5835.4639918348. The cubic root of 34052640 is about 324.1282832967.

Adding to 34052640 its reverse (4625043), we get a palindrome (38677683).

The spelling of 34052640 in words is "thirty-four million, fifty-two thousand, six hundred forty".