36975700 has 36 divisors (see below), whose sum is σ = 82112800. Its totient is φ = 14444640.

The previous prime is 36975689. The next prime is 36975703. The reversal of 36975700 is 757963.

36975700 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

36975700 is a nontrivial binomial coefficient, being equal to C(8600, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 36975700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36975703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1 + ... + 8599.

Almost surely, 2^36975700 is an apocalyptic number.

36975700 is the 8599-th triangular number and also the 4300-th hexagonal number.

36975700 is the 2867-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36975700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41056400).

36975700 is an abundant number, since it is smaller than the sum of its proper divisors (45137100).

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

36975700 is a wasteful number, since it uses less digits than its factorization.

36975700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8656 (or 8649 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 37.

The square root of 36975700 is about 6080.7647545354. The cubic root of 36975700 is about 333.1492205484.

It can be divided in two parts, 36975 and 700, that added together give a triangular number (37675 = T₂₇₄).

The spelling of 36975700 in words is "thirty-six million, nine hundred seventy-five thousand, seven hundred".