34640424 has 192 divisors, whose sum is σ = 122653440. Its totient is φ = 8570880.

The previous prime is 34640383. The next prime is 34640447. The reversal of 34640424 is 42404643.

34640424 = T₄₇₀ + T₄₇₁ + ... + T₆₇₇.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111229 + ... + 111539.

It is an arithmetic number, because the mean of its divisors is an integer number (638820).

Almost surely, 2^34640424 is an apocalyptic number.

34640424 is a gapful number since it is divisible by the number (34) 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 34640424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61326720).

34640424 is an abundant number, since it is smaller than the sum of its proper divisors (88013016).

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

34640424 is a wasteful number, since it uses less digits than its factorization.

34640424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 34640424 is about 5885.6116079809. The cubic root of 34640424 is about 325.9825852918.

The spelling of 34640424 in words is "thirty-four million, six hundred forty thousand, four hundred twenty-four".