34346440 has 48 divisors (see below), whose sum is σ = 80114580. Its totient is φ = 13251840.

The previous prime is 34346423. The next prime is 34346441. The reversal of 34346440 is 4464343.

It can be written as a sum of positive squares in 6 ways, for example, as 16990884 + 17355556 = 4122^2 + 4166^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34346399 and 34346408.

It is not an unprimeable number, because it can be changed into a prime (34346441) 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, 33130 + ... + 34150.

Almost surely, 2^34346440 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 34346440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40057290).

34346440 is an abundant number, since it is smaller than the sum of its proper divisors (45768140).

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

34346440 is a wasteful number, since it uses less digits than its factorization.

34346440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 34346440 is about 5860.5835886881. The cubic root of 34346440 is about 325.0577885405.

The spelling of 34346440 in words is "thirty-four million, three hundred forty-six thousand, four hundred forty".