34854300 has 180 divisors, whose sum is σ = 122042536. Its totient is φ = 8553600.

The previous prime is 34854263. The next prime is 34854311. The reversal of 34854300 is 345843.

34854300 = 68³ + 69³ + ... + 112³.

It is a happy number.

34854300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 105135 + ... + 105465.

Almost surely, 2^34854300 is an apocalyptic number.

34854300 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 34854300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61021268).

34854300 is an abundant number, since it is smaller than the sum of its proper divisors (87188236).

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

34854300 is a wasteful number, since it uses less digits than its factorization.

34854300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34854300 is about 5903.7530436156. The cubic root of 34854300 is about 326.6521003269.

The spelling of 34854300 in words is "thirty-four million, eight hundred fifty-four thousand, three hundred".