34863920 has 80 divisors (see below), whose sum is σ = 99785280. Its totient is φ = 11031552.

The previous prime is 34863869. The next prime is 34863931. The reversal of 34863920 is 2936843.

It is a happy number.

34863920 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

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 15 ways as a sum of consecutive naturals, for example, 4886 + ... + 9674.

It is an arithmetic number, because the mean of its divisors is an integer number (1247316).

Almost surely, 2^34863920 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 34863920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49892640).

34863920 is an abundant number, since it is smaller than the sum of its proper divisors (64921360).

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

34863920 is a wasteful number, since it uses less digits than its factorization.

34863920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4822 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 34863920 is about 5904.5677233816. The cubic root of 34863920 is about 326.6821502217.

The spelling of 34863920 in words is "thirty-four million, eight hundred sixty-three thousand, nine hundred twenty".