34946000 has 80 divisors (see below), whose sum is σ = 85829328. Its totient is φ = 13760000.

The previous prime is 34945979. The next prime is 34946011. The reversal of 34946000 is 64943.

It can be written as a sum of positive squares in 8 ways, for example, as 183184 + 34762816 = 428^2 + 5896^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201914 + ... + 202086.

Almost surely, 2^34946000 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 34946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42914664).

34946000 is an abundant number, since it is smaller than the sum of its proper divisors (50883328).

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

34946000 is a wasteful number, since it uses less digits than its factorization.

34946000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 34946000 is about 5911.5141884292. The cubic root of 34946000 is about 326.9383181609.

The spelling of 34946000 in words is "thirty-four million, nine hundred forty-six thousand".