34359936 has 64 divisors (see below), whose sum is σ = 98303520. Its totient is φ = 10570752.

The previous prime is 34359929. The next prime is 34359943. The reversal of 34359936 is 63995343.

It is an interprime number because it is at equal distance from previous prime (34359929) and next prime (34359943).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1551 + ... + 8433.

Almost surely, 2^34359936 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 34359936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49151760).

34359936 is an abundant number, since it is smaller than the sum of its proper divisors (63943584).

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

34359936 is a wasteful number, since it uses less digits than its factorization.

34359936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6913 (or 6901 counting only the distinct ones).

The product of its digits is 262440, while the sum is 42.

The square root of 34359936 is about 5861.7348967690. The cubic root of 34359936 is about 325.1003587500.

The spelling of 34359936 in words is "thirty-four million, three hundred fifty-nine thousand, nine hundred thirty-six".