3686001055100 has 144 divisors (see below), whose sum is σ = 9845558468928. Its totient is φ = 1166428200960.

The previous prime is 3686001055063. The next prime is 3686001055103. The reversal of 3686001055100 is 15501006863.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686001055103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111704204 + ... + 111737196.

It is an arithmetic number, because the mean of its divisors is an integer number (68371933812).

Almost surely, 2^{3686001055100} 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 3686001055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922779234464).

3686001055100 is an abundant number, since it is smaller than the sum of its proper divisors (6159557413828).

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

3686001055100 is a wasteful number, since it uses less digits than its factorization.

3686001055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45304 (or 45297 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 3686001055100 in words is "three trillion, six hundred eighty-six billion, one million, fifty-five thousand, one hundred".