34789440 has 224 divisors, whose sum is σ = 131088384. Its totient is φ = 7649280.

The previous prime is 34789439. The next prime is 34789441. The reversal of 34789440 is 4498743.

It is an interprime number because it is at equal distance from previous prime (34789439) and next prime (34789441).

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (34789441) 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, 208237 + ... + 208403.

It is an arithmetic number, because the mean of its divisors is an integer number (585216).

Almost surely, 2^34789440 is an apocalyptic number.

34789440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65544192).

34789440 is an abundant number, since it is smaller than the sum of its proper divisors (96298944).

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

34789440 is a wasteful number, since it uses less digits than its factorization.

34789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 34789440 is about 5898.2573697661. The cubic root of 34789440 is about 326.4493533599.

The spelling of 34789440 in words is "thirty-four million, seven hundred eighty-nine thousand, four hundred forty".