34845876 has 60 divisors (see below), whose sum is σ = 98113092. Its totient is φ = 10720512.

The previous prime is 34845871. The next prime is 34845887. The reversal of 34845876 is 67854843.

It can be written as a sum of positive squares in 2 ways, for example, as 15397776 + 19448100 = 3924^2 + 4410^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34845871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76 + ... + 8348.

Almost surely, 2^34845876 is an apocalyptic number.

34845876 is a gapful number since it is divisible by the number (36) 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 34845876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49056546).

34845876 is an abundant number, since it is smaller than the sum of its proper divisors (63267216).

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

34845876 is a wasteful number, since it uses less digits than its factorization.

34845876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8302 (or 8291 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 34845876 is about 5903.0395560254. The cubic root of 34845876 is about 326.6257818238.

It can be divided in two parts, 34845 and 876, that added together give a square (35721 = 189²).

The spelling of 34845876 in words is "thirty-four million, eight hundred forty-five thousand, eight hundred seventy-six".