34208640 has 96 divisors (see below), whose sum is σ = 118146600. Its totient is φ = 9120768.

The previous prime is 34208639. The next prime is 34208651. The reversal of 34208640 is 4680243.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2791 + ... + 8729.

Almost surely, 2^34208640 is an apocalyptic number.

34208640 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 34208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59073300).

34208640 is an abundant number, since it is smaller than the sum of its proper divisors (83937960).

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

34208640 is a wasteful number, since it uses less digits than its factorization.

34208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34208640 is about 5848.8152646498. The cubic root of 34208640 is about 324.6224886844.

Adding to 34208640 its reverse (4680243), we get a palindrome (38888883).

The spelling of 34208640 in words is "thirty-four million, two hundred eight thousand, six hundred forty".