3846610944000 has 2720 divisors, whose sum is σ = 17100952906752. Its totient is φ = 849346560000.

The previous prime is 3846610943957. The next prime is 3846610944041. The reversal of 3846610944000 is 4490166483.

3846610944000 is a `hidden beast` number, since 3 + 84 + 66 + 109 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2720).

It is a super-2 number, since 2×3846610944000² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 124084223985 + ... + 124084224015.

Almost surely, 2^{3846610944000} is an apocalyptic number.

3846610944000 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 3846610944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8550476453376).

3846610944000 is an abundant number, since it is smaller than the sum of its proper divisors (13254341962752).

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

3846610944000 is an equidigital number, since it uses as much as digits as its factorization.

3846610944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3846610944000 in words is "three trillion, eight hundred forty-six billion, six hundred ten million, nine hundred forty-four thousand".