3887668350720 has 864 divisors, whose sum is σ = 16787194744320. Its totient is φ = 806998671360.

The previous prime is 3887668350697. The next prime is 3887668350733. The reversal of 3887668350720 is 270538667883.

It is a happy number.

3887668350720 is a `hidden beast` number, since 38 + 8 + 76 + 6 + 8 + 3 + 507 + 20 = 666.

It is a super-2 number, since 2×3887668350720² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1267578627 + ... + 1267581693.

Almost surely, 2^{3887668350720} is an apocalyptic number.

3887668350720 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 3887668350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8393597372160).

3887668350720 is an abundant number, since it is smaller than the sum of its proper divisors (12899526393600).

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

3887668350720 is a wasteful number, since it uses less digits than its factorization.

3887668350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3887668350720 in words is "three trillion, eight hundred eighty-seven billion, six hundred sixty-eight million, three hundred fifty thousand, seven hundred twenty".