3460741699905 has 192 divisors, whose sum is σ = 7426628052480. Its totient is φ = 1497630104064.

The previous prime is 3460741699871. The next prime is 3460741699937. The reversal of 3460741699905 is 5099961470643.

3460741699905 is a `hidden beast` number, since 3 + 4 + 607 + 4 + 16 + 9 + 9 + 9 + 0 + 5 = 666.

It is not a de Polignac number, because 3460741699905 - 2⁷ = 3460741699777 is a prime.

It is a super-2 number, since 2×3460741699905² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 558451267 + ... + 558457463.

It is an arithmetic number, because the mean of its divisors is an integer number (38680354440).

Almost surely, 2^{3460741699905} is an apocalyptic number.

3460741699905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3460741699905 is an abundant number, since it is smaller than the sum of its proper divisors (3965886352575).

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

3460741699905 is a wasteful number, since it uses less digits than its factorization.

3460741699905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7893 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 3460741699905 in words is "three trillion, four hundred sixty billion, seven hundred forty-one million, six hundred ninety-nine thousand, nine hundred five".