34944768 has 108 divisors (see below), whose sum is σ = 104427960. Its totient is φ = 11225088.

The previous prime is 34944757. The next prime is 34944799. The reversal of 34944768 is 86744943.

34944768 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×34944768² = 2442273621147648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66555 + ... + 67077.

Almost surely, 2^34944768 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 34944768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52213980).

34944768 is an abundant number, since it is smaller than the sum of its proper divisors (69483192).

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

34944768 is a wasteful number, since it uses less digits than its factorization.

34944768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 557 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 34944768 is about 5911.4099840901. The cubic root of 34944768 is about 326.9344761118.

The spelling of 34944768 in words is "thirty-four million, nine hundred forty-four thousand, seven hundred sixty-eight".