3781724045688 has 128 divisors (see below), whose sum is σ = 10860070809600. Its totient is φ = 1218064003200.

The previous prime is 3781724045683. The next prime is 3781724045783. The reversal of 3781724045688 is 8865404271873.

It is a happy number.

3781724045688 is a `hidden beast` number, since 3 + 7 + 8 + 172 + 4 + 0 + 456 + 8 + 8 = 666.

It is a super-2 number, since 2×3781724045688² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781724045683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3998845 + ... + 4853267.

It is an arithmetic number, because the mean of its divisors is an integer number (84844303200).

Almost surely, 2^{3781724045688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3781724045688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430035404800).

3781724045688 is an abundant number, since it is smaller than the sum of its proper divisors (7078346763912).

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

3781724045688 is a wasteful number, since it uses less digits than its factorization.

3781724045688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 855130 (or 855120 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 3781724045688 in words is "three trillion, seven hundred eighty-one billion, seven hundred twenty-four million, forty-five thousand, six hundred eighty-eight".