34286880 has 96 divisors (see below), whose sum is σ = 109867968. Its totient is φ = 8985600.

The previous prime is 34286873. The next prime is 34286891. The reversal of 34286880 is 8868243.

It is a tau number, because it is divible by the number of its divisors (96).

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, 28695 + ... + 29865.

It is an arithmetic number, because the mean of its divisors is an integer number (1144458).

Almost surely, 2^34286880 is an apocalyptic number.

34286880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 5855×5856.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34286880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54933984).

34286880 is an abundant number, since it is smaller than the sum of its proper divisors (75581088).

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

34286880 is a wasteful number, since it uses less digits than its factorization.

34286880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 34286880 is about 5855.4999786525. The cubic root of 34286880 is about 324.8697861000.

The spelling of 34286880 in words is "thirty-four million, two hundred eighty-six thousand, eight hundred eighty".