34696000 has 56 divisors (see below), whose sum is σ = 85944456. Its totient is φ = 13875200.

The previous prime is 34695989. The next prime is 34696003. The reversal of 34696000 is 69643.

It can be written as a sum of positive squares in 4 ways, for example, as 9535744 + 25160256 = 3088^2 + 5016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 34696000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34696003) 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, 5832 + ... + 10168.

Almost surely, 2^34696000 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 34696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42972228).

34696000 is an abundant number, since it is smaller than the sum of its proper divisors (51248456).

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

34696000 is an equidigital number, since it uses as much as digits as its factorization.

34696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4364 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 34696000 is about 5890.3310603055. The cubic root of 34696000 is about 326.1568241917.

The spelling of 34696000 in words is "thirty-four million, six hundred ninety-six thousand".