34198056 has 96 divisors (see below), whose sum is σ = 98055360. Its totient is φ = 10745856.

The previous prime is 34198051. The next prime is 34198057. The reversal of 34198056 is 65089143.

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 34198056.

It is not an unprimeable number, because it can be changed into a prime (34198051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177096 + ... + 177288.

It is an arithmetic number, because the mean of its divisors is an integer number (1021410).

Almost surely, 2^34198056 is an apocalyptic number.

34198056 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 34198056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49027680).

34198056 is an abundant number, since it is smaller than the sum of its proper divisors (63857304).

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

34198056 is a wasteful number, since it uses less digits than its factorization.

34198056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 34198056 is about 5847.9103960304. The cubic root of 34198056 is about 324.5890063164.

The spelling of 34198056 in words is "thirty-four million, one hundred ninety-eight thousand, fifty-six".