34081440 has 192 divisors, whose sum is σ = 117210240. Its totient is φ = 8294400.

The previous prime is 34081433. The next prime is 34081441. The reversal of 34081440 is 4418043.

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 34081440.

It is not an unprimeable number, because it can be changed into a prime (34081441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337390 + ... + 337490.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 2^34081440 is an apocalyptic number.

34081440 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 34081440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

34081440 is an abundant number, since it is smaller than the sum of its proper divisors (83128800).

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

34081440 is a wasteful number, since it uses less digits than its factorization.

34081440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 34081440 is about 5837.9311403955. The cubic root of 34081440 is about 324.2196346490.

Adding to 34081440 its reverse (4418043), we get a palindrome (38499483).

The spelling of 34081440 in words is "thirty-four million, eighty-one thousand, four hundred forty".