3391282944000 has 4608 divisors, whose sum is σ = 16778990592000. Its totient is φ = 668860416000.

The previous prime is 3391282943941. The next prime is 3391282944001. The reversal of 3391282944000 is 4492821933.

3391282944000 is a `hidden beast` number, since 3 + 39 + 128 + 2 + 94 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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 (3391282944001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 109396223985 + ... + 109396224015.

It is an arithmetic number, because the mean of its divisors is an integer number (3641274000).

Almost surely, 2^{3391282944000} is an apocalyptic number.

3391282944000 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 3391282944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8389495296000).

3391282944000 is an abundant number, since it is smaller than the sum of its proper divisors (13387707648000).

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

3391282944000 is a wasteful number, since it uses less digits than its factorization.

3391282944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 3391282944000 in words is "three trillion, three hundred ninety-one billion, two hundred eighty-two million, nine hundred forty-four thousand".