34353000 has 192 divisors, whose sum is σ = 127033920. Its totient is φ = 8304000.

The previous prime is 34352963. The next prime is 34353019. The reversal of 34353000 is 35343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 98827 + ... + 99173.

It is an arithmetic number, because the mean of its divisors is an integer number (661635).

Almost surely, 2^34353000 is an apocalyptic number.

34353000 is a gapful number since it is divisible by the number (30) 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 34353000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63516960).

34353000 is an abundant number, since it is smaller than the sum of its proper divisors (92680920).

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

34353000 is a wasteful number, since it uses less digits than its factorization.

34353000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 18.

The square root of 34353000 is about 5861.1432331927. The cubic root of 34353000 is about 325.0784820326.

Adding to 34353000 its reverse (35343), we get a palindrome (34388343).

The spelling of 34353000 in words is "thirty-four million, three hundred fifty-three thousand".