34894720 has 64 divisors (see below), whose sum is σ = 95349600. Its totient is φ = 11962368.

The previous prime is 34894711. The next prime is 34894721. The reversal of 34894720 is 2749843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 34894720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34894721) 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, 586 + ... + 8374.

Almost surely, 2^34894720 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 34894720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47674800).

34894720 is an abundant number, since it is smaller than the sum of its proper divisors (60454880).

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

34894720 is an equidigital number, since it uses as much as digits as its factorization.

34894720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7815 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 34894720 is about 5907.1752978898. The cubic root of 34894720 is about 326.7783226993.

The spelling of 34894720 in words is "thirty-four million, eight hundred ninety-four thousand, seven hundred twenty".