34964000 has 48 divisors (see below), whose sum is σ = 85916376. Its totient is φ = 13984000.

The previous prime is 34963991. The next prime is 34964003. The reversal of 34964000 is 46943.

It can be written as a sum of positive squares in 4 ways, for example, as 5326864 + 29637136 = 2308^2 + 5444^2 .

It is not an unprimeable number, because it can be changed into a prime (34964003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371 + ... + 8370.

Almost surely, 2^34964000 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 34964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42958188).

34964000 is an abundant number, since it is smaller than the sum of its proper divisors (50952376).

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

34964000 is an equidigital number, since it uses as much as digits as its factorization.

34964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8766 (or 8748 counting only the distinct ones).

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

The square root of 34964000 is about 5913.0364450086. The cubic root of 34964000 is about 326.9944417002.

The spelling of 34964000 in words is "thirty-four million, nine hundred sixty-four thousand".