34590864 has 160 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 8937600.

The previous prime is 34590859. The next prime is 34590883. The reversal of 34590864 is 46809543.

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, 181009 + ... + 181199.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 2^34590864 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 34590864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

34590864 is an abundant number, since it is smaller than the sum of its proper divisors (79687536).

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

34590864 is a wasteful number, since it uses less digits than its factorization.

34590864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 34590864 is about 5881.3998333730. The cubic root of 34590864 is about 325.8270501700.

The spelling of 34590864 in words is "thirty-four million, five hundred ninety thousand, eight hundred sixty-four".