3491936000000 has 1008 divisors, whose sum is σ = 10831776195240. Its totient is φ = 1118208000000.

The previous prime is 3491935999957. The next prime is 3491936000041. The reversal of 3491936000000 is 6391943.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 26655999935 + ... + 26656000065.

Almost surely, 2^{3491936000000} 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 3491936000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415888097620).

3491936000000 is an abundant number, since it is smaller than the sum of its proper divisors (7339840195240).

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

3491936000000 is an frugal number, since it uses more digits than its factorization.

3491936000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

It can be divided in two parts, 34 and 91936000000, that multiplied together give a square (3125824000000 = 1768000²).

The spelling of 3491936000000 in words is "three trillion, four hundred ninety-one billion, nine hundred thirty-six million", and thus it is an aban number.