3686094397440 has 2240 divisors, whose sum is σ = 16864822719360. Its totient is φ = 749123665920.

The previous prime is 3686094397439. The next prime is 3686094397457. The reversal of 3686094397440 is 447934906863.

3686094397440 is a `hidden beast` number, since 3 + 6 + 8 + 60 + 9 + 43 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8755568430 + ... + 8755568850.

It is an arithmetic number, because the mean of its divisors is an integer number (7528938714).

Almost surely, 2^{3686094397440} is an apocalyptic number.

3686094397440 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 3686094397440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432411359680).

3686094397440 is an abundant number, since it is smaller than the sum of its proper divisors (13178728321920).

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

3686094397440 is a wasteful number, since it uses less digits than its factorization.

3686094397440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 3686094397440 in words is "three trillion, six hundred eighty-six billion, ninety-four million, three hundred ninety-seven thousand, four hundred forty".