3439685767680 has 240 divisors, whose sum is σ = 11921049649080. Its totient is φ = 916598882304.

The previous prime is 3439685767673. The next prime is 3439685767717. The reversal of 3439685767680 is 867675869343.

3439685767680 is a `hidden beast` number, since 3 + 43 + 9 + 6 + 8 + 576 + 7 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2991128742144 + 448557025536 = 1729488^2 + 669744^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3439685767599 and 3439685767608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32871924 + ... + 32976396.

Almost surely, 2^{3439685767680} is an apocalyptic number.

3439685767680 is a gapful number since it is divisible by the number (30) 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 3439685767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960524824540).

3439685767680 is an abundant number, since it is smaller than the sum of its proper divisors (8481363881400).

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

3439685767680 is a wasteful number, since it uses less digits than its factorization.

3439685767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105931 (or 105912 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 3439685767680 in words is "three trillion, four hundred thirty-nine billion, six hundred eighty-five million, seven hundred sixty-seven thousand, six hundred eighty".