34790800 has 60 divisors (see below), whose sum is σ = 91195056. Its totient is φ = 12649600.

The previous prime is 34790771. The next prime is 34790803. The reversal of 34790800 is 809743.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34790803) 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, 447 + ... + 8353.

Almost surely, 2^34790800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45597528).

34790800 is an abundant number, since it is smaller than the sum of its proper divisors (56404256).

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

34790800 is a wasteful number, since it uses less digits than its factorization.

34790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7936 (or 7925 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 34790800 is about 5898.3726569283. The cubic root of 34790800 is about 326.4536071922.

The spelling of 34790800 in words is "thirty-four million, seven hundred ninety thousand, eight hundred".