36765900 has 216 divisors, whose sum is σ = 127960560. Its totient is φ = 9123840.

The previous prime is 36765877. The next prime is 36765923. The reversal of 36765900 is 956763.

It is a happy number.

36765900 is a `hidden beast` number, since 3 + 67 + 6 + 590 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36765877) and next prime (36765923).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 413056 + ... + 413144.

It is an arithmetic number, because the mean of its divisors is an integer number (592410).

Almost surely, 2^36765900 is an apocalyptic number.

36765900 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 36765900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

36765900 is an abundant number, since it is smaller than the sum of its proper divisors (91194660).

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

36765900 is a wasteful number, since it uses less digits than its factorization.

36765900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 36765900 is about 6063.4890945725. The cubic root of 36765900 is about 332.5179291970.

The spelling of 36765900 in words is "thirty-six million, seven hundred sixty-five thousand, nine hundred".