34914880 has 224 divisors, whose sum is σ = 112654080. Its totient is φ = 9953280.

The previous prime is 34914833. The next prime is 34914917. The reversal of 34914880 is 8841943.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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, 320266 + ... + 320374.

It is an arithmetic number, because the mean of its divisors is an integer number (502920).

Almost surely, 2^34914880 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 34914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327040).

34914880 is an abundant number, since it is smaller than the sum of its proper divisors (77739200).

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

34914880 is a wasteful number, since it uses less digits than its factorization.

34914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 34914880 is about 5908.8814508331. The cubic root of 34914880 is about 326.8412413176.

The spelling of 34914880 in words is "thirty-four million, nine hundred fourteen thousand, eight hundred eighty".