3410561064960 has 2016 divisors, whose sum is σ = 14703729393600. Its totient is φ = 758487711744.

The previous prime is 3410561064959. The next prime is 3410561064983. The reversal of 3410561064960 is 694601650143.

3410561064960 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 56 + 106 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×3410561064960³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92177326062 + ... + 92177326098.

Almost surely, 2^{3410561064960} is an apocalyptic number.

3410561064960 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 3410561064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351864696800).

3410561064960 is an abundant number, since it is smaller than the sum of its proper divisors (11293168328640).

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

3410561064960 is an frugal number, since it uses more digits than its factorization.

3410561064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 3410561064960 in words is "three trillion, four hundred ten billion, five hundred sixty-one million, sixty-four thousand, nine hundred sixty".