34136640 has 168 divisors, whose sum is σ = 122041920. Its totient is φ = 9082368.

The previous prime is 34136621. The next prime is 34136653. The reversal of 34136640 is 4663143.

34136640 is a `hidden beast` number, since 3 + 4 + 13 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 77541 + ... + 77979.

It is an arithmetic number, because the mean of its divisors is an integer number (726440).

Almost surely, 2^34136640 is an apocalyptic number.

34136640 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 34136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61020960).

34136640 is an abundant number, since it is smaller than the sum of its proper divisors (87905280).

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

34136640 is an equidigital number, since it uses as much as digits as its factorization.

34136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34136640 is about 5842.6569298565. The cubic root of 34136640 is about 324.3945809958.

Adding to 34136640 its reverse (4663143), we get a palindrome (38799783).

The spelling of 34136640 in words is "thirty-four million, one hundred thirty-six thousand, six hundred forty".