3475745955864 has 144 divisors (see below), whose sum is σ = 11792709648720. Its totient is φ = 916680240000.

The previous prime is 3475745955859. The next prime is 3475745955919. The reversal of 3475745955864 is 4685595475743.

3475745955864 is a `hidden beast` number, since 3 + 4 + 7 + 5 + 7 + 4 + 5 + 9 + 558 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3475745955792 and 3475745955801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37846012 + ... + 37937739.

It is an arithmetic number, because the mean of its divisors is an integer number (81893817005).

Almost surely, 2^{3475745955864} is an apocalyptic number.

It is an amenable number.

3475745955864 is an abundant number, since it is smaller than the sum of its proper divisors (8316963692856).

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

3475745955864 is a wasteful number, since it uses less digits than its factorization.

3475745955864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75783790 (or 75783776 counting only the distinct ones).

The product of its digits is 2540160000, while the sum is 72.

The spelling of 3475745955864 in words is "three trillion, four hundred seventy-five billion, seven hundred forty-five million, nine hundred fifty-five thousand, eight hundred sixty-four".