34235840 has 56 divisors (see below), whose sum is σ = 82570320. Its totient is φ = 13518848.

The previous prime is 34235833. The next prime is 34235843. The reversal of 34235840 is 4853243.

It is a super-3 number, since 3×34235840³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34235843) 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, 25916 + ... + 27204.

It is an arithmetic number, because the mean of its divisors is an integer number (1474470).

Almost surely, 2^34235840 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 34235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41285160).

34235840 is an abundant number, since it is smaller than the sum of its proper divisors (48334480).

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

34235840 is a wasteful number, since it uses less digits than its factorization.

34235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 34235840 is about 5851.1400598516. The cubic root of 34235840 is about 324.7085039181.

The spelling of 34235840 in words is "thirty-four million, two hundred thirty-five thousand, eight hundred forty".