3487756713984 has 576 divisors, whose sum is σ = 10992431268000. Its totient is φ = 1103471050752.

The previous prime is 3487756713983. The next prime is 3487756713997. The reversal of 3487756713984 is 4893176577843.

3487756713984 is a `hidden beast` number, since 3 + 48 + 7 + 7 + 567 + 13 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (3487756713983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59114520547 + ... + 59114520605.

Almost surely, 2^{3487756713984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487756713984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496215634000).

3487756713984 is an abundant number, since it is smaller than the sum of its proper divisors (7504674554016).

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

3487756713984 is an frugal number, since it uses more digits than its factorization.

3487756713984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 93 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 72.

The spelling of 3487756713984 in words is "three trillion, four hundred eighty-seven billion, seven hundred fifty-six million, seven hundred thirteen thousand, nine hundred eighty-four".