34381440 has 192 divisors, whose sum is σ = 122204160. Its totient is φ = 8902656.

The previous prime is 34381439. The next prime is 34381441. The reversal of 34381440 is 4418343.

It is an interprime number because it is at equal distance from previous prime (34381439) and next prime (34381441).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270657 + ... + 270783.

It is an arithmetic number, because the mean of its divisors is an integer number (636480).

Almost surely, 2^34381440 is an apocalyptic number.

34381440 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 34381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61102080).

34381440 is an abundant number, since it is smaller than the sum of its proper divisors (87822720).

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

34381440 is a wasteful number, since it uses less digits than its factorization.

34381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34381440 is about 5863.5688791043. The cubic root of 34381440 is about 325.1681654363.

Adding to 34381440 its reverse (4418343), we get a palindrome (38799783).

The spelling of 34381440 in words is "thirty-four million, three hundred eighty-one thousand, four hundred forty".