34204896 has 192 divisors, whose sum is σ = 112492800. Its totient is φ = 10022400.

The previous prime is 34204871. The next prime is 34204903. The reversal of 34204896 is 69840243.

It is a happy number.

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 34204896.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 560706 + ... + 560766.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 2^34204896 is an apocalyptic number.

34204896 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 34204896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

34204896 is an abundant number, since it is smaller than the sum of its proper divisors (78287904).

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

34204896 is a wasteful number, since it uses less digits than its factorization.

34204896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34204896 is about 5848.4951910727. The cubic root of 34204896 is about 324.6106453710.

The spelling of 34204896 in words is "thirty-four million, two hundred four thousand, eight hundred ninety-six".