3867666516000 has 1536 divisors, whose sum is σ = 16826793984000. Its totient is φ = 844286976000.

The previous prime is 3867666515971. The next prime is 3867666516011. The reversal of 3867666516000 is 6156667683.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1851442956 + ... + 1851445044.

It is an arithmetic number, because the mean of its divisors is an integer number (10954944000).

Almost surely, 2^{3867666516000} is an apocalyptic number.

3867666516000 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 3867666516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8413396992000).

3867666516000 is an abundant number, since it is smaller than the sum of its proper divisors (12959127468000).

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

3867666516000 is a wasteful number, since it uses less digits than its factorization.

3867666516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3867666516000 in words is "three trillion, eight hundred sixty-seven billion, six hundred sixty-six million, five hundred sixteen thousand".