34449840 has 160 divisors (see below), whose sum is σ = 121867200. Its totient is φ = 8939520.

The previous prime is 34449823. The next prime is 34449847. The reversal of 34449840 is 4894443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 34449795 and 34449804.

It is not an unprimeable number, because it can be changed into a prime (34449847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88366 + ... + 88754.

It is an arithmetic number, because the mean of its divisors is an integer number (761670).

Almost surely, 2^34449840 is an apocalyptic number.

34449840 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 34449840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60933600).

34449840 is an abundant number, since it is smaller than the sum of its proper divisors (87417360).

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

34449840 is a wasteful number, since it uses less digits than its factorization.

34449840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34449840 is about 5869.3986063310. The cubic root of 34449840 is about 325.3836573740.

The spelling of 34449840 in words is "thirty-four million, four hundred forty-nine thousand, eight hundred forty".