3737723625216 has 486 divisors, whose sum is σ = 13230926235072. Its totient is φ = 1011703633920.

The previous prime is 3737723625187. The next prime is 3737723625221. The reversal of 3737723625216 is 6125263277373.

3737723625216 is a `hidden beast` number, since 3 + 7 + 3 + 7 + 7 + 2 + 3 + 625 + 2 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 40709601 + ... + 40801311.

Almost surely, 2^{3737723625216} is an apocalyptic number.

3737723625216 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 3737723625216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615463117536).

3737723625216 is an abundant number, since it is smaller than the sum of its proper divisors (9493202609856).

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

3737723625216 is a wasteful number, since it uses less digits than its factorization.

3737723625216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91785 (or 91742 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 54.

The spelling of 3737723625216 in words is "three trillion, seven hundred thirty-seven billion, seven hundred twenty-three million, six hundred twenty-five thousand, two hundred sixteen".