34859880 has 96 divisors (see below), whose sum is σ = 123608160. Its totient is φ = 8449920.

The previous prime is 34859879. The next prime is 34859893. The reversal of 34859880 is 8895843.

34859880 is a `hidden beast` number, since 3 + 485 + 98 + 80 = 666.

34859880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34859880³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442 + ... + 8361.

It is an arithmetic number, because the mean of its divisors is an integer number (1287585).

Almost surely, 2^34859880 is an apocalyptic number.

34859880 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 34859880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61804080).

34859880 is an abundant number, since it is smaller than the sum of its proper divisors (88748280).

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

34859880 is a wasteful number, since it uses less digits than its factorization.

34859880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 34859880 is about 5904.2256054456. The cubic root of 34859880 is about 326.6695311887.

The spelling of 34859880 in words is "thirty-four million, eight hundred fifty-nine thousand, eight hundred eighty".