34640268 has 144 divisors (see below), whose sum is σ = 98380800. Its totient is φ = 9434880.

The previous prime is 34640267. The next prime is 34640279. The reversal of 34640268 is 86204643.

It is a super-2 number, since 2×34640268² = 2399896334223648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34640267) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117413 + ... + 1117443.

It is an arithmetic number, because the mean of its divisors is an integer number (683200).

Almost surely, 2^34640268 is an apocalyptic number.

34640268 is a gapful number since it is divisible by the number (38) 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 34640268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49190400).

34640268 is an abundant number, since it is smaller than the sum of its proper divisors (63740532).

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

34640268 is a wasteful number, since it uses less digits than its factorization.

34640268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 97 counting only the distinct ones).

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

The square root of 34640268 is about 5885.5983553076. The cubic root of 34640268 is about 325.9820959467.

The spelling of 34640268 in words is "thirty-four million, six hundred forty thousand, two hundred sixty-eight".