3187381784976 has 135 divisors (see below), whose sum is σ = 9170126142723. Its totient is φ = 1033488357120.

The previous prime is 3187381784959. The next prime is 3187381784999. The reversal of 3187381784976 is 6794871837813.

The square root of 3187381784976 is 1785324.

It is a perfect power (a square), and thus also a powerful number.

3187381784976 is a `hidden beast` number, since 3 + 1 + 87 + 381 + 7 + 84 + 97 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22626176400 + 3164755608576 = 150420^2 + 1778976^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 792681846 + ... + 792685866.

Almost surely, 2^{3187381784976} is an apocalyptic number.

3187381784976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3187381784976 is the 1785324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3187381784976

3187381784976 is an abundant number, since it is smaller than the sum of its proper divisors (5982744357747).

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

3187381784976 is an frugal number, since it uses more digits than its factorization.

3187381784976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 4063 counting only the distinct ones).

The product of its digits is 341397504, while the sum is 72.

The spelling of 3187381784976 in words is "three trillion, one hundred eighty-seven billion, three hundred eighty-one million, seven hundred eighty-four thousand, nine hundred seventy-six".