34867844010 has 84 divisors (see below), whose sum is σ = 94143178818. Its totient is φ = 9298091736.

The previous prime is 34867844009. The next prime is 34867844029. The reversal of 34867844010 is 1044876843.

It can be written as a sum of positive squares in only one way, i.e., 31381059609 + 3486784401 = 177147^2 + 59049^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=10, B=9.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 6973568800 + ... + 6973568804.

Almost surely, 2^34867844010 is an apocalyptic number.

34867844010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34867844010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47071589409).

34867844010 is an abundant number, since it is smaller than the sum of its proper divisors (59275334808).

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

34867844010 is an frugal number, since it uses more digits than its factorization.

34867844010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 34867844010 in words is "thirty-four billion, eight hundred sixty-seven million, eight hundred forty-four thousand, ten".