34084000 has 48 divisors (see below), whose sum is σ = 83754216. Its totient is φ = 13632000.

The previous prime is 34083983. The next prime is 34084003. The reversal of 34084000 is 48043.

It can be written as a sum of positive squares in 4 ways, for example, as 9759376 + 24324624 = 3124^2 + 4932^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34084003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261 + ... + 8260.

Almost surely, 2^34084000 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 34084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41877108).

34084000 is an abundant number, since it is smaller than the sum of its proper divisors (49670216).

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

34084000 is an equidigital number, since it uses as much as digits as its factorization.

34084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 8528 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 34084000 is about 5838.1503920334. The cubic root of 34084000 is about 324.2277522782.

The spelling of 34084000 in words is "thirty-four million, eighty-four thousand".