34267840 has 56 divisors (see below), whose sum is σ = 82204560. Its totient is φ = 13605888.

The previous prime is 34267837. The next prime is 34267843. The reversal of 34267840 is 4876243.

It is an interprime number because it is at equal distance from previous prime (34267837) and next prime (34267843).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34267796 and 34267805.

It is not an unprimeable number, because it can be changed into a prime (34267843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55051 + ... + 55669.

Almost surely, 2^34267840 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 34267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41102280).

34267840 is an abundant number, since it is smaller than the sum of its proper divisors (47936720).

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

34267840 is a wasteful number, since it uses less digits than its factorization.

34267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 34267840 is about 5853.8739309965. The cubic root of 34267840 is about 324.8096400028.

The spelling of 34267840 in words is "thirty-four million, two hundred sixty-seven thousand, eight hundred forty".