3728742583680 has 768 divisors, whose sum is σ = 13788936944640. Its totient is φ = 925221519360.

The previous prime is 3728742583649. The next prime is 3728742583681. The reversal of 3728742583680 is 863852478273.

3728742583680 is a `hidden beast` number, since 3 + 7 + 2 + 8 + 7 + 42 + 583 + 6 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3728742583681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3609624444 + ... + 3609625476.

It is an arithmetic number, because the mean of its divisors is an integer number (17954344980).

Almost surely, 2^{3728742583680} is an apocalyptic number.

3728742583680 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 3728742583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894468472320).

3728742583680 is an abundant number, since it is smaller than the sum of its proper divisors (10060194360960).

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

3728742583680 is a wasteful number, since it uses less digits than its factorization.

3728742583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 3728742583680 in words is "three trillion, seven hundred twenty-eight billion, seven hundred forty-two million, five hundred eighty-three thousand, six hundred eighty".