3073838040000 has 1680 divisors, whose sum is σ = 13699327561920. Its totient is φ = 641433600000.

The previous prime is 3073838039981. The next prime is 3073838040011. The reversal of 3073838040000 is 408383703.

3073838040000 is a `hidden beast` number, since 30 + 73 + 83 + 80 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3308759536 + ... + 3308760464.

It is an arithmetic number, because the mean of its divisors is an integer number (8154361644).

Almost surely, 2^{3073838040000} is an apocalyptic number.

3073838040000 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 3073838040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849663780960).

3073838040000 is an abundant number, since it is smaller than the sum of its proper divisors (10625489521920).

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

3073838040000 is a wasteful number, since it uses less digits than its factorization.

3073838040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3073838040000 in words is "three trillion, seventy-three billion, eight hundred thirty-eight million, forty thousand".