3506709441792 has 144 divisors (see below), whose sum is σ = 9740673169920. Its totient is φ = 1117859567616.

The previous prime is 3506709441791. The next prime is 3506709441799. The reversal of 3506709441792 is 2971449076053.

It is a happy number.

It is a super-2 number, since 2×3506709441792² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3506709441791) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 104889783 + ... + 104923209.

It is an arithmetic number, because the mean of its divisors is an integer number (67643563680).

Almost surely, 2^{3506709441792} is an apocalyptic number.

3506709441792 is a gapful number since it is divisible by the number (32) 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 3506709441792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870336584960).

3506709441792 is an abundant number, since it is smaller than the sum of its proper divisors (6233963728128).

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

3506709441792 is a wasteful number, since it uses less digits than its factorization.

3506709441792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39408 (or 39394 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 3506709441792 in words is "three trillion, five hundred six billion, seven hundred nine million, four hundred forty-one thousand, seven hundred ninety-two".