34945344 has 196 divisors, whose sum is σ = 119932704. Its totient is φ = 9891072.

The previous prime is 34945331. The next prime is 34945367. The reversal of 34945344 is 44354943.

It is a happy number.

34945344 is a `hidden beast` number, since 34 + 94 + 534 + 4 = 666.

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

Its product of digits (103680) is a multiple of the sum of its prime factors (144).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 34945299 and 34945308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 326539 + ... + 326645.

Almost surely, 2^34945344 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 34945344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59966352).

34945344 is an abundant number, since it is smaller than the sum of its proper divisors (84987360).

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

34945344 is an equidigital number, since it uses as much as digits as its factorization.

34945344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 34945344 is about 5911.4587032305. The cubic root of 34945344 is about 326.9362724057.

The spelling of 34945344 in words is "thirty-four million, nine hundred forty-five thousand, three hundred forty-four".