3681000800 has 36 divisors (see below), whose sum is σ = 8986245156. Its totient is φ = 1472400000.

The previous prime is 3681000797. The next prime is 3681000809. The reversal of 3681000800 is 80001863.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3681000800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3681000809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2299826 + ... + 2301425.

It is an arithmetic number, because the mean of its divisors is an integer number (249617921).

Almost surely, 2^3681000800 is an apocalyptic number.

It is an amenable number.

3681000800 is an abundant number, since it is smaller than the sum of its proper divisors (5305244356).

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

3681000800 is a wasteful number, since it uses less digits than its factorization.

3681000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4601271 (or 4601258 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 3681000800 is about 60671.2518413787. The cubic root of 3681000800 is about 1544.0284700380.

The spelling of 3681000800 in words is "three billion, six hundred eighty-one million, eight hundred", and thus it is an aban number.