34352640 has 320 divisors, whose sum is σ = 141419520. Its totient is φ = 7741440.

The previous prime is 34352587. The next prime is 34352677. The reversal of 34352640 is 4625343.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483805 + ... + 483875.

It is an arithmetic number, because the mean of its divisors is an integer number (441936).

Almost surely, 2^34352640 is an apocalyptic number.

34352640 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 34352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70709760).

34352640 is an abundant number, since it is smaller than the sum of its proper divisors (107066880).

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

34352640 is an equidigital number, since it uses as much as digits as its factorization.

34352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 34352640 is about 5861.1125223800. The cubic root of 34352640 is about 325.0773464824.

Adding to 34352640 its reverse (4625343), we get a palindrome (38977983).

The spelling of 34352640 in words is "thirty-four million, three hundred fifty-two thousand, six hundred forty".