34863840 has 288 divisors, whose sum is σ = 135862272. Its totient is φ = 8064000.

The previous prime is 34863833. The next prime is 34863853. The reversal of 34863840 is 4836843.

34863840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34863795 and 34863804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 491005 + ... + 491075.

It is an arithmetic number, because the mean of its divisors is an integer number (471744).

Almost surely, 2^34863840 is an apocalyptic number.

34863840 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 34863840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

34863840 is an abundant number, since it is smaller than the sum of its proper divisors (100998432).

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

34863840 is a wasteful number, since it uses less digits than its factorization.

34863840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 34863840 is about 5904.5609489614. The cubic root of 34863840 is about 326.6819003493.

The spelling of 34863840 in words is "thirty-four million, eight hundred sixty-three thousand, eight hundred forty".