3405745219275 has 432 divisors, whose sum is σ = 7902259223040. Its totient is φ = 1444538188800.

The previous prime is 3405745219271. The next prime is 3405745219291. The reversal of 3405745219275 is 5729125475043.

3405745219275 is a `hidden beast` number, since 3 + 4 + 0 + 574 + 52 + 19 + 2 + 7 + 5 = 666.

It is not a de Polignac number, because 3405745219275 - 2² = 3405745219271 is a prime.

It is a super-2 number, since 2×3405745219275² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3405745219271) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 359288986 + ... + 359298464.

It is an arithmetic number, because the mean of its divisors is an integer number (18292266720).

Almost surely, 2^{3405745219275} is an apocalyptic number.

3405745219275 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3405745219275 is an abundant number, since it is smaller than the sum of its proper divisors (4496514003765).

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

3405745219275 is a wasteful number, since it uses less digits than its factorization.

3405745219275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9606 (or 9582 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 3405745219275 in words is "three trillion, four hundred five billion, seven hundred forty-five million, two hundred nineteen thousand, two hundred seventy-five".