3194083840000 has 195 divisors, whose sum is σ = 7988831924997. Its totient is φ = 1276489728000.

The previous prime is 3194083839971. The next prime is 3194083840109. The reversal of 3194083840000 is 483804913.

The square root of 3194083840000 is 1787200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 3177634238464 + 16449601536 = 1782592^2 + 128256^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 2859519442 + ... + 2859520558.

Almost surely, 2^{3194083840000} is an apocalyptic number.

3194083840000 is the 1787200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3194083840000

3194083840000 is an abundant number, since it is smaller than the sum of its proper divisors (4794748084997).

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

3194083840000 is an frugal number, since it uses more digits than its factorization.

3194083840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 3194083840000 in words is "three trillion, one hundred ninety-four billion, eighty-three million, eight hundred forty thousand".