35114144 has 72 divisors (see below), whose sum is σ = 77105952. Its totient is φ = 15724800.

The previous prime is 35114137. The next prime is 35114153. The reversal of 35114144 is 44141153.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 232469 + ... + 232619.

It is an arithmetic number, because the mean of its divisors is an integer number (1070916).

Almost surely, 2^35114144 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 35114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38552976).

35114144 is an abundant number, since it is smaller than the sum of its proper divisors (41991808).

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

35114144 is a wasteful number, since it uses less digits than its factorization.

35114144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 35114144 is about 5925.7188593453. The cubic root of 35114144 is about 327.4618381033.

Adding to 35114144 its reverse (44141153), we get a palindrome (79255297).

The spelling of 35114144 in words is "thirty-five million, one hundred fourteen thousand, one hundred forty-four".