34007856 has 20 divisors (see below), whose sum is σ = 87853752. Its totient is φ = 11335936.

The previous prime is 34007851. The next prime is 34007861. The reversal of 34007856 is 65870043.

It is an interprime number because it is at equal distance from previous prime (34007851) and next prime (34007861).

It is not an unprimeable number, because it can be changed into a prime (34007851) 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 3 ways as a sum of consecutive naturals, for example, 354201 + ... + 354296.

Almost surely, 2^34007856 is an apocalyptic number.

It is an amenable number.

34007856 is an abundant number, since it is smaller than the sum of its proper divisors (53845896).

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

34007856 is a wasteful number, since it uses less digits than its factorization.

34007856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708508 (or 708502 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 34007856 is about 5831.6255023792. The cubic root of 34007856 is about 323.9861295693.

Adding to 34007856 its reverse (65870043), we get a palindrome (99877899).

The spelling of 34007856 in words is "thirty-four million, seven thousand, eight hundred fifty-six".