36842880 has 128 divisors (see below), whose sum is σ = 121420800. Its totient is φ = 9492480.

The previous prime is 36842879. The next prime is 36842891. The reversal of 36842880 is 8824863.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×36842880³ (a number of 24 digits) contains 333 as substring.

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, 59211 + ... + 59829.

It is an arithmetic number, because the mean of its divisors is an integer number (948600).

Almost surely, 2^36842880 is an apocalyptic number.

36842880 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 36842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60710400).

36842880 is an abundant number, since it is smaller than the sum of its proper divisors (84577920).

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

36842880 is a wasteful number, since it uses less digits than its factorization.

36842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 36842880 is about 6069.8336056271. The cubic root of 36842880 is about 332.7498414298.

The spelling of 36842880 in words is "thirty-six million, eight hundred forty-two thousand, eight hundred eighty".