3887537734080 has 3584 divisors, whose sum is σ = 19740927467520. Its totient is φ = 693066792960.

The previous prime is 3887537734049. The next prime is 3887537734127. The reversal of 3887537734080 is 804377357883.

3887537734080 is a `hidden beast` number, since 3 + 88 + 75 + 3 + 77 + 340 + 80 = 666.

It is a super-2 number, since 2×3887537734080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3887537733999 and 3887537734017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 20142682464 + ... + 20142682656.

It is an arithmetic number, because the mean of its divisors is an integer number (5508071280).

Almost surely, 2^{3887537734080} is an apocalyptic number.

3887537734080 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 3887537734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870463733760).

3887537734080 is an abundant number, since it is smaller than the sum of its proper divisors (15853389733440).

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

3887537734080 is a wasteful number, since it uses less digits than its factorization.

3887537734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 3887537734080 in words is "three trillion, eight hundred eighty-seven billion, five hundred thirty-seven million, seven hundred thirty-four thousand, eighty".