36335040 has 112 divisors (see below), whose sum is σ = 131868672. Its totient is φ = 8303616.

The previous prime is 36335029. The next prime is 36335059. The reversal of 36335040 is 4053363.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 36335040.

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 15 ways as a sum of consecutive naturals, for example, 4017 + ... + 9423.

Almost surely, 2^36335040 is an apocalyptic number.

36335040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65934336).

36335040 is an abundant number, since it is smaller than the sum of its proper divisors (95533632).

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

36335040 is a wasteful number, since it uses less digits than its factorization.

36335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 36335040 is about 6027.8553400028. The cubic root of 36335040 is about 331.2138947238.

The spelling of 36335040 in words is "thirty-six million, three hundred thirty-five thousand, forty".