34098336 has 72 divisors (see below), whose sum is σ = 97621524. Its totient is φ = 11289600.

The previous prime is 34098319. The next prime is 34098343. The reversal of 34098336 is 63389043.

It can be written as a sum of positive squares in 2 ways, for example, as 26010000 + 8088336 = 5100^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34098336.

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 11 ways as a sum of consecutive naturals, for example, 56436 + ... + 57036.

Almost surely, 2^34098336 is an apocalyptic number.

34098336 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 34098336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48810762).

34098336 is an abundant number, since it is smaller than the sum of its proper divisors (63523188).

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

34098336 is a wasteful number, since it uses less digits than its factorization.

34098336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 34098336 is about 5839.3780490734. The cubic root of 34098336 is about 324.2732034922.

The spelling of 34098336 in words is "thirty-four million, ninety-eight thousand, three hundred thirty-six".