3705349607856 has 180 divisors, whose sum is σ = 11382211557808. Its totient is φ = 1118594520576.

The previous prime is 3705349607837. The next prime is 3705349607873. The reversal of 3705349607856 is 6587069435073.

3705349607856 is a `hidden beast` number, since 3 + 7 + 0 + 534 + 96 + 0 + 7 + 8 + 5 + 6 = 666.

It is a super-2 number, since 2×3705349607856² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3705349607793 and 3705349607802.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4906125 + ... + 5610771.

Almost surely, 2^{3705349607856} is an apocalyptic number.

3705349607856 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 3705349607856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691105778904).

3705349607856 is an abundant number, since it is smaller than the sum of its proper divisors (7676861949952).

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

3705349607856 is a wasteful number, since it uses less digits than its factorization.

3705349607856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704780 (or 704718 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 3705349607856 in words is "three trillion, seven hundred five billion, three hundred forty-nine million, six hundred seven thousand, eight hundred fifty-six".