34286640 has 160 divisors (see below), whose sum is σ = 114516480. Its totient is φ = 8460288.

The previous prime is 34286633. The next prime is 34286653. The reversal of 34286640 is 4668243.

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, 332829 + ... + 332931.

It is an arithmetic number, because the mean of its divisors is an integer number (715728).

Almost surely, 2^34286640 is an apocalyptic number.

34286640 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 34286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57258240).

34286640 is an abundant number, since it is smaller than the sum of its proper divisors (80229840).

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

34286640 is a wasteful number, since it uses less digits than its factorization.

34286640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 34286640 is about 5855.4794850635. The cubic root of 34286640 is about 324.8690280945.

The spelling of 34286640 in words is "thirty-four million, two hundred eighty-six thousand, six hundred forty".