34381600 has 72 divisors (see below), whose sum is σ = 91587888. Its totient is φ = 12499200.

The previous prime is 34381597. The next prime is 34381609. The reversal of 34381600 is 618343.

34381600 is nontrivially palindromic in base 9.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34381609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6847 + ... + 10753.

It is an arithmetic number, because the mean of its divisors is an integer number (1272054).

Almost surely, 2^34381600 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 34381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45793944).

34381600 is an abundant number, since it is smaller than the sum of its proper divisors (57206288).

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

34381600 is a wasteful number, since it uses less digits than its factorization.

34381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3938 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 34381600 is about 5863.5825226563. The cubic root of 34381600 is about 325.1686698443.

Adding to 34381600 its reverse (618343), we get a palindrome (34999943).

The spelling of 34381600 in words is "thirty-four million, three hundred eighty-one thousand, six hundred".