34285680 has 400 divisors, whose sum is σ = 143678304. Its totient is φ = 7464960.

The previous prime is 34285673. The next prime is 34285681. The reversal of 34285680 is 8658243.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34285681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 926622 + ... + 926658.

Almost surely, 2^34285680 is an apocalyptic number.

34285680 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 34285680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71839152).

34285680 is an abundant number, since it is smaller than the sum of its proper divisors (109392624).

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

34285680 is a wasteful number, since it uses less digits than its factorization.

34285680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 34285680 is about 5855.3975099902. The cubic root of 34285680 is about 324.8659960371.

The spelling of 34285680 in words is "thirty-four million, two hundred eighty-five thousand, six hundred eighty".