34307640 has 96 divisors (see below), whose sum is σ = 112394880. Its totient is φ = 9075456.

The previous prime is 34307633. The next prime is 34307657. The reversal of 34307640 is 4670343.

34307640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×34307640⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56217 + ... + 56823.

It is an arithmetic number, because the mean of its divisors is an integer number (1170780).

Almost surely, 2^34307640 is an apocalyptic number.

34307640 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 34307640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56197440).

34307640 is an abundant number, since it is smaller than the sum of its proper divisors (78087240).

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

34307640 is a wasteful number, since it uses less digits than its factorization.

34307640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 34307640 is about 5857.2724027486. The cubic root of 34307640 is about 324.9353401938.

Adding to 34307640 its reverse (4670343), we get a palindrome (38977983).

The spelling of 34307640 in words is "thirty-four million, three hundred seven thousand, six hundred forty".