3465509881743 has 48 divisors (see below), whose sum is σ = 6163620240960. Its totient is φ = 1827156068352.

The previous prime is 3465509881733. The next prime is 3465509881751. The reversal of 3465509881743 is 3471889055643.

3465509881743 is a `hidden beast` number, since 3 + 4 + 6 + 5 + 509 + 8 + 81 + 7 + 43 = 666.

It is a Cunningham number, because it is equal to 1861588²-1.

It is not a de Polignac number, because 3465509881743 - 2⁸ = 3465509881487 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465509881733) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 930793 + ... + 2792381.

It is an arithmetic number, because the mean of its divisors is an integer number (128408755020).

Almost surely, 2^{3465509881743} is an apocalyptic number.

3465509881743 is a deficient number, since it is larger than the sum of its proper divisors (2698110359217).

3465509881743 is a wasteful number, since it uses less digits than its factorization.

3465509881743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863888 (or 1863885 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 3465509881743 in words is "three trillion, four hundred sixty-five billion, five hundred nine million, eight hundred eighty-one thousand, seven hundred forty-three".