3866553306000 has 3360 divisors, whose sum is σ = 18356853086208. Its totient is φ = 769824000000.

The previous prime is 3866553305987. The next prime is 3866553306019. The reversal of 3866553306000 is 6033556683.

3866553306000 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 5 + 5 + 3 + 30 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 38282705950 + ... + 38282706050.

Almost surely, 2^{3866553306000} is an apocalyptic number.

3866553306000 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 3866553306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9178426543104).

3866553306000 is an abundant number, since it is smaller than the sum of its proper divisors (14490299780208).

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

3866553306000 is a wasteful number, since it uses less digits than its factorization.

3866553306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3866553306000 in words is "three trillion, eight hundred sixty-six billion, five hundred fifty-three million, three hundred six thousand".