3189328059456 has 1008 divisors, whose sum is σ = 11867184808128. Its totient is φ = 816346460160.

The previous prime is 3189328059361. The next prime is 3189328059499. The reversal of 3189328059456 is 6549508239813.

3189328059456 is a `hidden beast` number, since 3 + 1 + 8 + 9 + 32 + 8 + 0 + 594 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 3189328059393 and 3189328059402.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2742327931 + ... + 2742329093.

Almost surely, 2^{3189328059456} is an apocalyptic number.

3189328059456 is a gapful number since it is divisible by the number (36) 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 3189328059456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5933592404064).

3189328059456 is an abundant number, since it is smaller than the sum of its proper divisors (8677856748672).

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

3189328059456 is a wasteful number, since it uses less digits than its factorization.

3189328059456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 3189328059456 in words is "three trillion, one hundred eighty-nine billion, three hundred twenty-eight million, fifty-nine thousand, four hundred fifty-six".