3410783641296 has 120 divisors (see below), whose sum is σ = 9921342805920. Its totient is φ = 1134360878976.

The previous prime is 3410783641289. The next prime is 3410783641373. The reversal of 3410783641296 is 6921463870143.

3410783641296 is a `hidden beast` number, since 3 + 4 + 107 + 8 + 36 + 412 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 23 ways as a sum of consecutive naturals, for example, 732250 + ... + 2712518.

It is an arithmetic number, because the mean of its divisors is an integer number (82677856716).

Almost surely, 2^{3410783641296} is an apocalyptic number.

3410783641296 is a gapful number since it is divisible by the number (36) 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 3410783641296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960671402960).

3410783641296 is an abundant number, since it is smaller than the sum of its proper divisors (6510559164624).

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

3410783641296 is a wasteful number, since it uses less digits than its factorization.

3410783641296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980735 (or 1980717 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3410783641296 in words is "three trillion, four hundred ten billion, seven hundred eighty-three million, six hundred forty-one thousand, two hundred ninety-six".