3686797425600 has 840 divisors, whose sum is σ = 14371409934288. Its totient is φ = 923863449600.

The previous prime is 3686797425593. The next prime is 3686797425607. The reversal of 3686797425600 is 65247976863.

3686797425600 is a `hidden beast` number, since 3 + 6 + 8 + 67 + 9 + 7 + 4 + 2 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3686797425593) and next prime (3686797425607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3686797425607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2408096835 + ... + 2408098365.

Almost surely, 2^{3686797425600} is an apocalyptic number.

3686797425600 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 3686797425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185704967144).

3686797425600 is an abundant number, since it is smaller than the sum of its proper divisors (10684612508688).

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

3686797425600 is a wasteful number, since it uses less digits than its factorization.

3686797425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 3686797425600 in words is "three trillion, six hundred eighty-six billion, seven hundred ninety-seven million, four hundred twenty-five thousand, six hundred".