34380288 has 100 divisors (see below), whose sum is σ = 102739890. Its totient is φ = 11446272.

The previous prime is 34380257. The next prime is 34380301. The reversal of 34380288 is 88208343.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 28387584 + 5992704 = 5328^2 + 2448^2 .

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

It is a nialpdrome in base 12.

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 9 ways as a sum of consecutive naturals, for example, 41058 + ... + 41886.

Almost surely, 2^34380288 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 34380288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51369945).

34380288 is an abundant number, since it is smaller than the sum of its proper divisors (68359602).

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

34380288 is an frugal number, since it uses more digits than its factorization.

34380288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 34380288 is about 5863.4706445927. The cubic root of 34380288 is about 325.1645336521.

The spelling of 34380288 in words is "thirty-four million, three hundred eighty thousand, two hundred eighty-eight".