34938288 has 240 divisors, whose sum is σ = 128134656. Its totient is φ = 8616960.

The previous prime is 34938263. The next prime is 34938341. The reversal of 34938288 is 88283943.

34938288 is a `hidden beast` number, since 3 + 493 + 82 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (331776) is a multiple of the sum of its prime factors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254956 + ... + 255092.

Almost surely, 2^34938288 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 34938288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64067328).

34938288 is an abundant number, since it is smaller than the sum of its proper divisors (93196368).

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

34938288 is a wasteful number, since it uses less digits than its factorization.

34938288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 34938288 is about 5910.8618660903. The cubic root of 34938288 is about 326.9142664448.

It can be divided in two parts, 3493 and 8288, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 34938288 in words is "thirty-four million, nine hundred thirty-eight thousand, two hundred eighty-eight".