34398936 has 144 divisors (see below), whose sum is σ = 110480760. Its totient is φ = 9584640.

The previous prime is 34398929. The next prime is 34398953. The reversal of 34398936 is 63989343.

It is a super-3 number, since 3×34398936³ (a number of 24 digits) contains 333 as substring.

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 = 34398891 and 34398900.

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 35 ways as a sum of consecutive naturals, for example, 133720 + ... + 133976.

Almost surely, 2^34398936 is an apocalyptic number.

34398936 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 34398936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55240380).

34398936 is an abundant number, since it is smaller than the sum of its proper divisors (76081824).

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

34398936 is a wasteful number, since it uses less digits than its factorization.

34398936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 286 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 34398936 is about 5865.0606134975. The cubic root of 34398936 is about 325.2233131891.

The spelling of 34398936 in words is "thirty-four million, three hundred ninety-eight thousand, nine hundred thirty-six".