3187881385920 has 672 divisors, whose sum is σ = 14176975228416. Its totient is φ = 662415667200.

The previous prime is 3187881385901. The next prime is 3187881385921. The reversal of 3187881385920 is 295831887813.

3187881385920 is a `hidden beast` number, since 3 + 1 + 8 + 7 + 8 + 8 + 1 + 38 + 592 + 0 = 666.

3187881385920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3187881385921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5721310 + ... + 6253730.

It is an arithmetic number, because the mean of its divisors is an integer number (21096689328).

Almost surely, 2^{3187881385920} is an apocalyptic number.

3187881385920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3187881385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7088487614208).

3187881385920 is an abundant number, since it is smaller than the sum of its proper divisors (10989093842496).

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

3187881385920 is a wasteful number, since it uses less digits than its factorization.

3187881385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532471 (or 532449 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

It can be divided in two parts, 3187881 and 385920, that added together give a triangular number (3573801 = T₂₆₇₃).

The spelling of 3187881385920 in words is "three trillion, one hundred eighty-seven billion, eight hundred eighty-one million, three hundred eighty-five thousand, nine hundred twenty".