34448040 has 96 divisors (see below), whose sum is σ = 122148000. Its totient is φ = 8350080.

The previous prime is 34447979. The next prime is 34448047. The reversal of 34448040 is 4084443.

It is a junction number, because it is equal to n+sod(n) for n = 34447995 and 34448013.

It is not an unprimeable number, because it can be changed into a prime (34448047) 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, 390 + ... + 8309.

It is an arithmetic number, because the mean of its divisors is an integer number (1272375).

Almost surely, 2^34448040 is an apocalyptic number.

34448040 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 34448040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61074000).

34448040 is an abundant number, since it is smaller than the sum of its proper divisors (87699960).

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

34448040 is a wasteful number, since it uses less digits than its factorization.

34448040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727 (or 8720 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 34448040 is about 5869.2452666420. The cubic root of 34448040 is about 325.3779901896.

It can be divided in two parts, 344 and 48040, that added together give a palindrome (48384).

The spelling of 34448040 in words is "thirty-four million, four hundred forty-eight thousand, forty".