3849931008000 has 1152 divisors, whose sum is σ = 17301862206720. Its totient is φ = 799948800000.

The previous prime is 3849931007957. The next prime is 3849931008037. The reversal of 3849931008000 is 8001399483.

3849931008000 is a `hidden beast` number, since 384 + 9 + 93 + 100 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×3849931008000³ (a number of 39 digits) contains 333 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 95 ways as a sum of consecutive naturals, for example, 177397150 + ... + 177418850.

It is an arithmetic number, because the mean of its divisors is an integer number (15018977610).

Almost surely, 2^{3849931008000} is an apocalyptic number.

3849931008000 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 3849931008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8650931103360).

3849931008000 is an abundant number, since it is smaller than the sum of its proper divisors (13451931198720).

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

3849931008000 is a wasteful number, since it uses less digits than its factorization.

3849931008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21762 (or 21729 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 3849931008000 in words is "three trillion, eight hundred forty-nine billion, nine hundred thirty-one million, eight thousand".