34042800 has 120 divisors (see below), whose sum is σ = 119010240. Its totient is φ = 8249600.

The previous prime is 34042793. The next prime is 34042807. The reversal of 34042800 is 824043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34042793) and next prime (34042807).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (34042807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11911 + ... + 14489.

It is an arithmetic number, because the mean of its divisors is an integer number (991752).

Almost surely, 2^34042800 is an apocalyptic number.

34042800 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 34042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59505120).

34042800 is an abundant number, since it is smaller than the sum of its proper divisors (84967440).

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

34042800 is a wasteful number, since it uses less digits than its factorization.

34042800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 34042800 is about 5834.6208103012. The cubic root of 34042800 is about 324.0970597796.

Adding to 34042800 its reverse (824043), we get a palindrome (34866843).

The spelling of 34042800 in words is "thirty-four million, forty-two thousand, eight hundred".