34728300 has 108 divisors (see below), whose sum is σ = 111305376. Its totient is φ = 9052800.

The previous prime is 34728299. The next prime is 34728307. The reversal of 34728300 is 382743.

It is not an unprimeable number, because it can be changed into a prime (34728307) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41890 + ... + 42710.

Almost surely, 2^34728300 is an apocalyptic number.

34728300 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 34728300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55652688).

34728300 is an abundant number, since it is smaller than the sum of its proper divisors (76577076).

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

34728300 is a wasteful number, since it uses less digits than its factorization.

34728300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34728300 is about 5893.0722038679. The cubic root of 34728300 is about 326.2580039433.

The spelling of 34728300 in words is "thirty-four million, seven hundred twenty-eight thousand, three hundred".