3460872083760 has 720 divisors, whose sum is σ = 14847634833408. Its totient is φ = 706645555200.

The previous prime is 3460872083723. The next prime is 3460872083789. The reversal of 3460872083760 is 673802780643.

3460872083760 is a `hidden beast` number, since 3 + 4 + 60 + 8 + 7 + 208 + 376 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 3460872083697 and 3460872083706.

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 143 ways as a sum of consecutive naturals, for example, 26339025 + ... + 26470095.

Almost surely, 2^{3460872083760} is an apocalyptic number.

3460872083760 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 3460872083760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7423817416704).

3460872083760 is an abundant number, since it is smaller than the sum of its proper divisors (11386762749648).

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

3460872083760 is a wasteful number, since it uses less digits than its factorization.

3460872083760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131154 (or 131132 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 3460872083760 in words is "three trillion, four hundred sixty billion, eight hundred seventy-two million, eighty-three thousand, seven hundred sixty".