3391440192000 has 960 divisors, whose sum is σ = 14477894855424. Its totient is φ = 775161446400.

The previous prime is 3391440191999. The next prime is 3391440192029. The reversal of 3391440192000 is 2910441933.

3391440192000 is a `hidden beast` number, since 3 + 3 + 9 + 1 + 440 + 1 + 9 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 108848424 + ... + 108879576.

Almost surely, 2^{3391440192000} is an apocalyptic number.

3391440192000 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 3391440192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238947427712).

3391440192000 is an abundant number, since it is smaller than the sum of its proper divisors (11086454663424).

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

3391440192000 is an frugal number, since it uses more digits than its factorization.

3391440192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31208 (or 31170 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 3391440192000 in words is "three trillion, three hundred ninety-one billion, four hundred forty million, one hundred ninety-two thousand".