34485640 has 128 divisors (see below), whose sum is σ = 95385600. Its totient is φ = 10967040.

The previous prime is 34485593. The next prime is 34485701. The reversal of 34485640 is 4658443.

It is a junction number, because it is equal to n+sod(n) for n = 34485596 and 34485605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251652 + ... + 251788.

It is an arithmetic number, because the mean of its divisors is an integer number (745200).

Almost surely, 2^34485640 is an apocalyptic number.

34485640 is the 4795-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34485640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47692800).

34485640 is an abundant number, since it is smaller than the sum of its proper divisors (60899960).

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

34485640 is a wasteful number, since it uses less digits than its factorization.

34485640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 34485640 is about 5872.4475306298. The cubic root of 34485640 is about 325.4963303904.

The spelling of 34485640 in words is "thirty-four million, four hundred eighty-five thousand, six hundred forty".