34299936 has 144 divisors (see below), whose sum is σ = 110623968. Its totient is φ = 10368000.

The previous prime is 34299929. The next prime is 34300003. The reversal of 34299936 is 63999243.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34299891 and 34299900.

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 23 ways as a sum of consecutive naturals, for example, 85336 + ... + 85736.

It is an arithmetic number, because the mean of its divisors is an integer number (768222).

Almost surely, 2^34299936 is an apocalyptic number.

34299936 is a gapful number since it is divisible by the number (36) 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 34299936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55311984).

34299936 is an abundant number, since it is smaller than the sum of its proper divisors (76324032).

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

34299936 is a wasteful number, since it uses less digits than its factorization.

34299936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 34299936 is about 5856.6147218338. The cubic root of 34299936 is about 324.9110162700.

The spelling of 34299936 in words is "thirty-four million, two hundred ninety-nine thousand, nine hundred thirty-six".