36903936 has 88 divisors (see below), whose sum is σ = 101105424. Its totient is φ = 11960320.

The previous prime is 36903917. The next prime is 36903943. The reversal of 36903936 is 63930963.

It is a junction number, because it is equal to n+sod(n) for n = 36903894 and 36903903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125806 + ... + 126098.

Almost surely, 2^36903936 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 36903936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50552712).

36903936 is an abundant number, since it is smaller than the sum of its proper divisors (64201488).

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

36903936 is a wasteful number, since it uses less digits than its factorization.

36903936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 39.

The square root of 36903936 is about 6074.8609860638. The cubic root of 36903936 is about 332.9335509360.

It can be divided in two parts, 3690 and 3936, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 36903936 in words is "thirty-six million, nine hundred three thousand, nine hundred thirty-six".