3844155392000 has 960 divisors, whose sum is σ = 12601653442560. Its totient is φ = 1134231552000.

The previous prime is 3844155391991. The next prime is 3844155392017. The reversal of 3844155392000 is 2935514483.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2996223359 + ... + 2996224641.

It is an arithmetic number, because the mean of its divisors is an integer number (13126722336).

Almost surely, 2^{3844155392000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3844155392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300826721280).

3844155392000 is an abundant number, since it is smaller than the sum of its proper divisors (8757498050560).

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

3844155392000 is a wasteful number, since it uses less digits than its factorization.

3844155392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 3844155392000 in words is "three trillion, eight hundred forty-four billion, one hundred fifty-five million, three hundred ninety-two thousand".