3786725898720 has 384 divisors, whose sum is σ = 13401454510080. Its totient is φ = 998576087040.

The previous prime is 3786725898671. The next prime is 3786725898727. The reversal of 3786725898720 is 278985276873.

3786725898720 is a `hidden beast` number, since 37 + 8 + 6 + 7 + 2 + 589 + 8 + 7 + 2 + 0 = 666.

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 (3786725898727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170615944 + ... + 170638136.

It is an arithmetic number, because the mean of its divisors is an integer number (34899621120).

Almost surely, 2^{3786725898720} is an apocalyptic number.

3786725898720 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 3786725898720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700727255040).

3786725898720 is an abundant number, since it is smaller than the sum of its proper divisors (9614728611360).

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

3786725898720 is a wasteful number, since it uses less digits than its factorization.

3786725898720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22655 (or 22641 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 3786725898720 in words is "three trillion, seven hundred eighty-six billion, seven hundred twenty-five million, eight hundred ninety-eight thousand, seven hundred twenty".