3846488364000 has 768 divisors, whose sum is σ = 14794646630400. Its totient is φ = 968018688000.

The previous prime is 3846488363999. The next prime is 3846488364011. The reversal of 3846488364000 is 4638846483.

3846488364000 is a `hidden beast` number, since 38 + 464 + 88 + 36 + 40 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 556088542 + ... + 556095458.

It is an arithmetic number, because the mean of its divisors is an integer number (19263862800).

Almost surely, 2^{3846488364000} is an apocalyptic number.

3846488364000 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 3846488364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7397323315200).

3846488364000 is an abundant number, since it is smaller than the sum of its proper divisors (10948158266400).

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

3846488364000 is a wasteful number, since it uses less digits than its factorization.

3846488364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7241 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 3846488364000 in words is "three trillion, eight hundred forty-six billion, four hundred eighty-eight million, three hundred sixty-four thousand".