35740144 has 40 divisors (see below), whose sum is σ = 76803120. Its totient is φ = 15974400.

The previous prime is 35740127. The next prime is 35740157. The reversal of 35740144 is 44104753.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 9072 + ... + 12400.

It is an arithmetic number, because the mean of its divisors is an integer number (1920078).

Almost surely, 2^35740144 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 35740144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38401560).

35740144 is an abundant number, since it is smaller than the sum of its proper divisors (41062976).

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

35740144 is a wasteful number, since it uses less digits than its factorization.

35740144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3403 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 35740144 is about 5978.3061146114. The cubic root of 35740144 is about 329.3963374828.

Adding to 35740144 its reverse (44104753), we get a palindrome (79844897).

The spelling of 35740144 in words is "thirty-five million, seven hundred forty thousand, one hundred forty-four".