3848012179200 has 4320 divisors, whose sum is σ = 18768923712000. Its totient is φ = 772533780480.

The previous prime is 3848012179153. The next prime is 3848012179201. The reversal of 3848012179200 is 29712108483.

It is a happy number.

3848012179200 is a `hidden beast` number, since 384 + 80 + 1 + 2 + 179 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3848012179201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 57433017567 + ... + 57433017633.

Almost surely, 2^{3848012179200} is an apocalyptic number.

3848012179200 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 3848012179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384461856000).

3848012179200 is an abundant number, since it is smaller than the sum of its proper divisors (14920911532800).

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

3848012179200 is a wasteful number, since it uses less digits than its factorization.

3848012179200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 3848012179200 in words is "three trillion, eight hundred forty-eight billion, twelve million, one hundred seventy-nine thousand, two hundred".