3413713287744 has 112 divisors (see below), whose sum is σ = 10036169960640. Its totient is φ = 1137849431040.

The previous prime is 3413713287713. The next prime is 3413713287797. The reversal of 3413713287744 is 4477823173143.

3413713287744 is a `hidden beast` number, since 341 + 3 + 7 + 13 + 287 + 7 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52348279 + ... + 52413449.

Almost surely, 2^{3413713287744} is an apocalyptic number.

It is an amenable number.

3413713287744 is an abundant number, since it is smaller than the sum of its proper divisors (6622456672896).

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

3413713287744 is a wasteful number, since it uses less digits than its factorization.

3413713287744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95505 (or 95489 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 3413713287744 in words is "three trillion, four hundred thirteen billion, seven hundred thirteen million, two hundred eighty-seven thousand, seven hundred forty-four".