34845440 has 72 divisors (see below), whose sum is σ = 95413920. Its totient is φ = 11943936.

The previous prime is 34845439. The next prime is 34845469. The reversal of 34845440 is 4454843.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 34845397 and 34845406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7016 + ... + 10904.

Almost surely, 2^34845440 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 34845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47706960).

34845440 is an abundant number, since it is smaller than the sum of its proper divisors (60568480).

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

34845440 is an equidigital number, since it uses as much as digits as its factorization.

34845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3917 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 34845440 is about 5903.0026257829. The cubic root of 34845440 is about 326.6244195446.

The spelling of 34845440 in words is "thirty-four million, eight hundred forty-five thousand, four hundred forty".