34856820 has 36 divisors (see below), whose sum is σ = 105732900. Its totient is φ = 9295104.

The previous prime is 34856819. The next prime is 34856821. The reversal of 34856820 is 2865843.

It is an interprime number because it is at equal distance from previous prime (34856819) and next prime (34856821).

It can be written as a sum of positive squares in 2 ways, for example, as 27436644 + 7420176 = 5238^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34856821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96645 + ... + 97004.

It is an arithmetic number, because the mean of its divisors is an integer number (2937025).

Almost surely, 2^34856820 is an apocalyptic number.

34856820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34856820 is an abundant number, since it is smaller than the sum of its proper divisors (70876080).

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

34856820 is a wasteful number, since it uses less digits than its factorization.

34856820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193664 (or 193659 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 34856820 is about 5903.9664633194. The cubic root of 34856820 is about 326.6599725594.

The spelling of 34856820 in words is "thirty-four million, eight hundred fifty-six thousand, eight hundred twenty".