34359424 has 64 divisors (see below), whose sum is σ = 77993280. Its totient is φ = 14924800.

The previous prime is 34359407. The next prime is 34359433. The reversal of 34359424 is 42495343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×34359424² = 2361140035223552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34359424.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31854 + ... + 32914.

It is an arithmetic number, because the mean of its divisors is an integer number (1218645).

Almost surely, 2^34359424 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 34359424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38996640).

34359424 is an abundant number, since it is smaller than the sum of its proper divisors (43633856).

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

34359424 is a wasteful number, since it uses less digits than its factorization.

34359424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1097 counting only the distinct ones).

The product of its digits is 51840, while the sum is 34.

The square root of 34359424 is about 5861.6912235293. The cubic root of 34359424 is about 325.0987439603.

The spelling of 34359424 in words is "thirty-four million, three hundred fifty-nine thousand, four hundred twenty-four".