34072800 has 72 divisors (see below), whose sum is σ = 110914776. Its totient is φ = 9085440.

The previous prime is 34072789. The next prime is 34072807. The reversal of 34072800 is 827043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34072807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4699 + ... + 9498.

It is an arithmetic number, because the mean of its divisors is an integer number (1540483).

Almost surely, 2^34072800 is an apocalyptic number.

34072800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34072800 is an abundant number, since it is smaller than the sum of its proper divisors (76841976).

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

34072800 is a wasteful number, since it uses less digits than its factorization.

34072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14220 (or 14207 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 34072800 is about 5837.1911053177. The cubic root of 34072800 is about 324.1922346487.

Adding to 34072800 its reverse (827043), we get a palindrome (34899843).

The spelling of 34072800 in words is "thirty-four million, seventy-two thousand, eight hundred".