34954000 has 40 divisors (see below), whose sum is σ = 84523608. Its totient is φ = 13980800.

The previous prime is 34953991. The next prime is 34954001. The reversal of 34954000 is 45943.

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 28047616 = 2628^2 + 5296^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (34954001) 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, 6739 + ... + 10738.

Almost surely, 2^34954000 is an apocalyptic number.

It is an amenable number.

34954000 is an abundant number, since it is smaller than the sum of its proper divisors (49569608).

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

34954000 is a wasteful number, since it uses less digits than its factorization.

34954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17500 (or 17484 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 34954000 is about 5912.1907952975. The cubic root of 34954000 is about 326.9632643348.

Adding to 34954000 its reverse (45943), we get a palindrome (34999943).

The spelling of 34954000 in words is "thirty-four million, nine hundred fifty-four thousand".