34263840 has 288 divisors, whose sum is σ = 129971520. Its totient is φ = 7520256.

The previous prime is 34263833. The next prime is 34263847. The reversal of 34263840 is 4836243.

It is an interprime number because it is at equal distance from previous prime (34263833) and next prime (34263847).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34263798 and 34263807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34263847) 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, 1803351 + ... + 1803369.

It is an arithmetic number, because the mean of its divisors is an integer number (451290).

Almost surely, 2^34263840 is an apocalyptic number.

34263840 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 34263840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64985760).

34263840 is an abundant number, since it is smaller than the sum of its proper divisors (95707680).

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

34263840 is a wasteful number, since it uses less digits than its factorization.

34263840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 34263840 is about 5853.5322669308. The cubic root of 34263840 is about 324.7970014364.

The spelling of 34263840 in words is "thirty-four million, two hundred sixty-three thousand, eight hundred forty".