35744020 has 24 divisors (see below), whose sum is σ = 80837064. Its totient is φ = 13197696.

The previous prime is 35744003. The next prime is 35744021. The reversal of 35744020 is 2044753.

It can be written as a sum of positive squares in 4 ways, for example, as 174724 + 35569296 = 418^2 + 5964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35744021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68479 + ... + 68998.

It is an arithmetic number, because the mean of its divisors is an integer number (3368211).

Almost surely, 2^35744020 is an apocalyptic number.

It is an amenable number.

35744020 is an abundant number, since it is smaller than the sum of its proper divisors (45093044).

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

35744020 is a wasteful number, since it uses less digits than its factorization.

35744020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137499 (or 137497 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 35744020 is about 5978.6302779148. The cubic root of 35744020 is about 329.4082446728.

Adding to 35744020 its reverse (2044753), we get a palindrome (37788773).

It can be divided in two parts, 3574 and 4020, that multiplied together give a triangular number (14367480 = T₅₃₆₀).

The spelling of 35744020 in words is "thirty-five million, seven hundred forty-four thousand, twenty".