34027840 has 112 divisors (see below), whose sum is σ = 101096064. Its totient is φ = 10598400.

The previous prime is 34027811. The next prime is 34027853. The reversal of 34027840 is 4872043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34027799 and 34027808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23950 + ... + 25330.

Almost surely, 2^34027840 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 34027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50548032).

34027840 is an abundant number, since it is smaller than the sum of its proper divisors (67068224).

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

34027840 is a wasteful number, since it uses less digits than its factorization.

34027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 34027840 is about 5833.3386666642. The cubic root of 34027840 is about 324.0495783503.

Adding to 34027840 its reverse (4872043), we get a palindrome (38899883).

The spelling of 34027840 in words is "thirty-four million, twenty-seven thousand, eight hundred forty".