34007640 has 32 divisors (see below), whose sum is σ = 102023280. Its totient is φ = 9068672.

The previous prime is 34007629. The next prime is 34007641. The reversal of 34007640 is 4670043.

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 34007640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34007641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 141579 + ... + 141818.

Almost surely, 2^34007640 is an apocalyptic number.

34007640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34007640 is an abundant number, since it is smaller than the sum of its proper divisors (68015640).

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

34007640 is a wasteful number, since it uses less digits than its factorization.

34007640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283411 (or 283407 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 34007640 is about 5831.6069826421. The cubic root of 34007640 is about 323.9854436381.

Adding to 34007640 its reverse (4670043), we get a palindrome (38677683).

The spelling of 34007640 in words is "thirty-four million, seven thousand, six hundred forty".