34294000 has 80 divisors (see below), whose sum is σ = 89369280. Its totient is φ = 12652800.

The previous prime is 34293997. The next prime is 34294009. The reversal of 34294000 is 49243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34294009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25341 + ... + 26659.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^34294000 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 34294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44684640).

34294000 is an abundant number, since it is smaller than the sum of its proper divisors (55075280).

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

34294000 is a wasteful number, since it uses less digits than its factorization.

34294000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 34294000 is about 5856.1079225028. The cubic root of 34294000 is about 324.8922719876.

The spelling of 34294000 in words is "thirty-four million, two hundred ninety-four thousand".