34894608 has 160 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 9093120.

The previous prime is 34894603. The next prime is 34894669. The reversal of 34894608 is 80649843.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 34894608.

It is not an unprimeable number, because it can be changed into a prime (34894603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234118 + ... + 234266.

It is an arithmetic number, because the mean of its divisors is an integer number (703080).

Almost surely, 2^34894608 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 34894608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

34894608 is an abundant number, since it is smaller than the sum of its proper divisors (77598192).

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

34894608 is a wasteful number, since it uses less digits than its factorization.

34894608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 34894608 is about 5907.1658178859. The cubic root of 34894608 is about 326.7779730837. Note that the first 3 decimals are identical.

The spelling of 34894608 in words is "thirty-four million, eight hundred ninety-four thousand, six hundred eight".