34398208 has 112 divisors (see below), whose sum is σ = 82570320. Its totient is φ = 14155776.

The previous prime is 34398193. The next prime is 34398211. The reversal of 34398208 is 80289343.

It is a super-2 number, since 2×34398208² = 2366473427222528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1810423 + ... + 1810441.

It is an arithmetic number, because the mean of its divisors is an integer number (737235).

Almost surely, 2^34398208 is an apocalyptic number.

34398208 is a gapful number since it is divisible by the number (38) 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 34398208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41285160).

34398208 is an abundant number, since it is smaller than the sum of its proper divisors (48172112).

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

34398208 is a wasteful number, since it uses less digits than its factorization.

34398208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 34398208 is about 5864.9985507245. The cubic root of 34398208 is about 325.2210188910.

The spelling of 34398208 in words is "thirty-four million, three hundred ninety-eight thousand, two hundred eight".