34969000 has 144 divisors (see below), whose sum is σ = 95544540. Its totient is φ = 11968000.

The previous prime is 34968977. The next prime is 34969003. The reversal of 34969000 is 96943.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 7322436 + 27646564 = 2706^2 + 5258^2 .

It is a super-2 number, since 2×34969000² = 2445661922000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34969003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2056992 + ... + 2057008.

Almost surely, 2^34969000 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 34969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47772270).

34969000 is an abundant number, since it is smaller than the sum of its proper divisors (60575540).

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

34969000 is a wasteful number, since it uses less digits than its factorization.

34969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 34969000 is about 5913.4592245149. The cubic root of 34969000 is about 327.0100281537.

The spelling of 34969000 in words is "thirty-four million, nine hundred sixty-nine thousand".