3687725260800 has 2016 divisors, whose sum is σ = 16268187936000. Its totient is φ = 795943895040.

The previous prime is 3687725260787. The next prime is 3687725260829. The reversal of 3687725260800 is 80625277863.

3687725260800 is a `hidden beast` number, since 3 + 6 + 8 + 7 + 7 + 25 + 2 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12012134247 + ... + 12012134553.

Almost surely, 2^{3687725260800} is an apocalyptic number.

3687725260800 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 3687725260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8134093968000).

3687725260800 is an abundant number, since it is smaller than the sum of its proper divisors (12580462675200).

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

3687725260800 is a wasteful number, since it uses less digits than its factorization.

3687725260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 3687725260800 in words is "three trillion, six hundred eighty-seven billion, seven hundred twenty-five million, two hundred sixty thousand, eight hundred".