34007740 has 48 divisors (see below), whose sum is σ = 77545440. Its totient is φ = 12453120.

The previous prime is 34007693. The next prime is 34007747. The reversal of 34007740 is 4770043.

It is a happy number.

34007740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34007747) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 35670 + ... + 36610.

It is an arithmetic number, because the mean of its divisors is an integer number (1615530).

Almost surely, 2^34007740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34007740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38772720).

34007740 is an abundant number, since it is smaller than the sum of its proper divisors (43537700).

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

34007740 is a wasteful number, since it uses less digits than its factorization.

34007740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 25.

The square root of 34007740 is about 5831.6155566018. The cubic root of 34007740 is about 323.9857611992.

Adding to 34007740 its reverse (4770043), we get a palindrome (38777783).

The spelling of 34007740 in words is "thirty-four million, seven thousand, seven hundred forty".