834345900 has 144 divisors (see below), whose sum is σ = 2748053280. Its totient is φ = 217036800.

The previous prime is 834345881. The next prime is 834345923. The reversal of 834345900 is 9543438.

834345900 is a `hidden beast` number, since 8 + 34 + 34 + 590 + 0 = 666.

It is a super-2 number, since 2×834345900² = 1392266161693620000, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106932 + ... + 114468.

Almost surely, 2^834345900 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 834345900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374026640).

834345900 is an abundant number, since it is smaller than the sum of its proper divisors (1913707380).

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

834345900 is a wasteful number, since it uses less digits than its factorization.

834345900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7601 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 834345900 is about 28885.0463042731. The cubic root of 834345900 is about 941.4170192974.

The spelling of 834345900 in words is "eight hundred thirty-four million, three hundred forty-five thousand, nine hundred".