3746578756473 has 48 divisors (see below), whose sum is σ = 6277453728000. Its totient is φ = 2109052598400.

The previous prime is 3746578756451. The next prime is 3746578756499.

3746578756473 is a `hidden beast` number, since 3 + 7 + 4 + 6 + 57 + 8 + 7 + 564 + 7 + 3 = 666.

3746578756473 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3746578756473 - 2¹⁰ = 3746578755449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3746578756273) 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, 213178 + ... + 2745651.

It is an arithmetic number, because the mean of its divisors is an integer number (130780286000).

Almost surely, 2^{3746578756473} is an apocalyptic number.

It is an amenable number.

3746578756473 is a deficient number, since it is larger than the sum of its proper divisors (2530874971527).

3746578756473 is a wasteful number, since it uses less digits than its factorization.

3746578756473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2959142 (or 2959139 counting only the distinct ones).

The product of its digits is 2489356800, while the sum is 72.

The spelling of 3746578756473 in words is "three trillion, seven hundred forty-six billion, five hundred seventy-eight million, seven hundred fifty-six thousand, four hundred seventy-three".