34798500 has 288 divisors, whose sum is σ = 129467520. Its totient is φ = 7776000.

The previous prime is 34798469. The next prime is 34798513. The reversal of 34798500 is 589743.

34798500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 940482 + ... + 940518.

It is an arithmetic number, because the mean of its divisors is an integer number (449540).

Almost surely, 2^34798500 is an apocalyptic number.

34798500 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 34798500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64733760).

34798500 is an abundant number, since it is smaller than the sum of its proper divisors (94669020).

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

34798500 is a wasteful number, since it uses less digits than its factorization.

34798500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 34798500 is about 5899.0253432241. The cubic root of 34798500 is about 326.4776892997.

The spelling of 34798500 in words is "thirty-four million, seven hundred ninety-eight thousand, five hundred".