34280064 has 256 divisors, whose sum is σ = 125664000. Its totient is φ = 8957952.

The previous prime is 34280053. The next prime is 34280069. The reversal of 34280064 is 46008243.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34280069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314442 + ... + 314550.

It is an arithmetic number, because the mean of its divisors is an integer number (490875).

Almost surely, 2^34280064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34280064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62832000).

34280064 is an abundant number, since it is smaller than the sum of its proper divisors (91383936).

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

34280064 is a wasteful number, since it uses less digits than its factorization.

34280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34280064 is about 5854.9179328151. The cubic root of 34280064 is about 324.8482573675.

The spelling of 34280064 in words is "thirty-four million, two hundred eighty thousand, sixty-four".