2936736 has 120 divisors (see below), whose sum is σ = 9513504. Its totient is φ = 881280.

The previous prime is 2936729. The next prime is 2936737. The reversal of 2936736 is 6376392.

2936736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 2936736.

It is not an unprimeable number, because it can be changed into a prime (2936737) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 28461 + ... + 28563.

2^2936736 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 2936736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756752).

2936736 is an abundant number, since it is smaller than the sum of its proper divisors (6576768).

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

2936736 is a wasteful number, since it uses less digits than its factorization.

2936736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 119 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 2936736 is about 1713.6907538993. The cubic root of 2936736 is about 143.2039406758.

It can be divided in two parts, 29367 and 36, that added together give a triangular number (29403 = T₂₄₂).

The spelling of 2936736 in words is "two million, nine hundred thirty-six thousand, seven hundred thirty-six".