3843460800000 has 480 divisors, whose sum is σ = 14220388274400. Its totient is φ = 1024911360000.

The previous prime is 3843460799977. The next prime is 3843460800083. The reversal of 3843460800000 is 80643483.

3843460800000 is a `hidden beast` number, since 3 + 8 + 43 + 4 + 608 + 0 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3843460800000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43155516 + ... + 43244484.

It is an arithmetic number, because the mean of its divisors is an integer number (29625808905).

Almost surely, 2^{3843460800000} is an apocalyptic number.

3843460800000 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 3843460800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7110194137200).

3843460800000 is an abundant number, since it is smaller than the sum of its proper divisors (10376927474400).

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

3843460800000 is an frugal number, since it uses more digits than its factorization.

3843460800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89021 (or 88979 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3843460800000 in words is "three trillion, eight hundred forty-three billion, four hundred sixty million, eight hundred thousand".