34096800 has 72 divisors (see below), whose sum is σ = 110992896. Its totient is φ = 9091840.

The previous prime is 34096793. The next prime is 34096817. The reversal of 34096800 is 869043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4704 + ... + 9503.

It is an arithmetic number, because the mean of its divisors is an integer number (1541568).

Almost surely, 2^34096800 is an apocalyptic number.

34096800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34096800 is an abundant number, since it is smaller than the sum of its proper divisors (76896096).

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

34096800 is a wasteful number, since it uses less digits than its factorization.

34096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14230 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 34096800 is about 5839.2465267361. The cubic root of 34096800 is about 324.2683343287.

The spelling of 34096800 in words is "thirty-four million, ninety-six thousand, eight hundred".