36709840 has 80 divisors (see below), whose sum is σ = 90637056. Its totient is φ = 13798400.

The previous prime is 36709837. The next prime is 36709873. The reversal of 36709840 is 4890763.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×36709840² = 2695224705651200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 36709840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130500 + ... + 130780.

Almost surely, 2^36709840 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 36709840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45318528).

36709840 is an abundant number, since it is smaller than the sum of its proper divisors (53927216).

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

36709840 is a wasteful number, since it uses less digits than its factorization.

36709840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 36709840 is about 6058.8645801008. The cubic root of 36709840 is about 332.3488373880.

The spelling of 36709840 in words is "thirty-six million, seven hundred nine thousand, eight hundred forty".