34852080 has 80 divisors (see below), whose sum is σ = 113742720. Its totient is φ = 8803584.

The previous prime is 34852073. The next prime is 34852109. The reversal of 34852080 is 8025843.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 739 + ... + 8381.

It is an arithmetic number, because the mean of its divisors is an integer number (1421784).

Almost surely, 2^34852080 is an apocalyptic number.

34852080 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 34852080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

34852080 is an abundant number, since it is smaller than the sum of its proper divisors (78890640).

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

34852080 is a wasteful number, since it uses less digits than its factorization.

34852080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678 (or 7672 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 34852080 is about 5903.5650246271. The cubic root of 34852080 is about 326.6451649506.

It can be divided in two parts, 3485 and 2080, that added together give a triangular number (5565 = T₁₀₅).

The spelling of 34852080 in words is "thirty-four million, eight hundred fifty-two thousand, eighty".