3861528888000 has 1344 divisors, whose sum is σ = 15531431325696. Its totient is φ = 841881600000.

The previous prime is 3861528887999. The next prime is 3861528888017. The reversal of 3861528888000 is 8888251683.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×3861528888000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2661287275 + ... + 2661288725.

Almost surely, 2^{3861528888000} is an apocalyptic number.

3861528888000 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 3861528888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7765715662848).

3861528888000 is an abundant number, since it is smaller than the sum of its proper divisors (11669902437696).

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

3861528888000 is a wasteful number, since it uses less digits than its factorization.

3861528888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 57.

The spelling of 3861528888000 in words is "three trillion, eight hundred sixty-one billion, five hundred twenty-eight million, eight hundred eighty-eight thousand".