3727986425856 has 2560 divisors, whose sum is σ = 15620943571200. Its totient is φ = 856141332480.

The previous prime is 3727986425851. The next prime is 3727986425869. The reversal of 3727986425856 is 6585246897273.

3727986425856 is a `hidden beast` number, since 3 + 7 + 2 + 79 + 86 + 425 + 8 + 56 = 666.

It is a super-3 number, since 3×3727986425856³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3727986425851) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 100756389870 + ... + 100756389906.

Almost surely, 2^{3727986425856} is an apocalyptic number.

3727986425856 is a gapful number since it is divisible by the number (36) 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 3727986425856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810471785600).

3727986425856 is an abundant number, since it is smaller than the sum of its proper divisors (11892957145344).

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

3727986425856 is a wasteful number, since it uses less digits than its factorization.

3727986425856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 3727986425856 in words is "three trillion, seven hundred twenty-seven billion, nine hundred eighty-six million, four hundred twenty-five thousand, eight hundred fifty-six".