35742336 has 64 divisors (see below), whose sum is σ = 108511680. Its totient is φ = 10211328.

The previous prime is 35742293. The next prime is 35742337. The reversal of 35742336 is 63324753.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 35742297 and 35742306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35742337) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3961 + ... + 9336.

It is an arithmetic number, because the mean of its divisors is an integer number (1695495).

Almost surely, 2^35742336 is an apocalyptic number.

It is an amenable number.

35742336 is an abundant number, since it is smaller than the sum of its proper divisors (72769344).

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

35742336 is a wasteful number, since it uses less digits than its factorization.

35742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13321 (or 13309 counting only the distinct ones).

The product of its digits is 45360, while the sum is 33.

The square root of 35742336 is about 5978.4894413221. The cubic root of 35742336 is about 329.4030714793.

It can be divided in two parts, 35 and 742336, that added together give a triangular number (742371 = T₁₂₁₈).

The spelling of 35742336 in words is "thirty-five million, seven hundred forty-two thousand, three hundred thirty-six".