36756336 has 80 divisors (see below), whose sum is σ = 102493440. Its totient is φ = 11312640.

The previous prime is 36756299. The next prime is 36756341. The reversal of 36756336 is 63365763.

It is a super-2 number, since 2×36756336² = 2702056472289792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36756294 and 36756303.

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, 36901 + ... + 37883.

It is an arithmetic number, because the mean of its divisors is an integer number (1281168).

Almost surely, 2^36756336 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 36756336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51246720).

36756336 is an abundant number, since it is smaller than the sum of its proper divisors (65737104).

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

36756336 is a wasteful number, since it uses less digits than its factorization.

36756336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

The product of its digits is 204120, while the sum is 39.

The square root of 36756336 is about 6062.7003884408. The cubic root of 36756336 is about 332.4890938063.

It can be divided in two parts, 3675 and 6336, that added together give a triangular number (10011 = T₁₄₁).

The spelling of 36756336 in words is "thirty-six million, seven hundred fifty-six thousand, three hundred thirty-six".