34124640 has 192 divisors, whose sum is σ = 122798592. Its totient is φ = 7884800.

The previous prime is 34124611. The next prime is 34124687. The reversal of 34124640 is 4642143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34124640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121300 + ... + 121580.

It is an arithmetic number, because the mean of its divisors is an integer number (639576).

Almost surely, 2^34124640 is an apocalyptic number.

34124640 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 34124640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61399296).

34124640 is an abundant number, since it is smaller than the sum of its proper divisors (88673952).

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

34124640 is a wasteful number, since it uses less digits than its factorization.

34124640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34124640 is about 5841.6299095372. The cubic root of 34124640 is about 324.3565652333.

Adding to 34124640 its reverse (4642143), we get a palindrome (38766783).

The spelling of 34124640 in words is "thirty-four million, one hundred twenty-four thousand, six hundred forty".