3289461948864 has 1344 divisors, whose sum is σ = 12853543772160. Its totient is φ = 809843650560.

The previous prime is 3289461948863. The next prime is 3289461948893. The reversal of 3289461948864 is 4688491649823.

3289461948864 is a `hidden beast` number, since 3 + 2 + 89 + 4 + 6 + 1 + 9 + 488 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3289461948792 and 3289461948801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3289461948863) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1909147107 + ... + 1909148829.

It is an arithmetic number, because the mean of its divisors is an integer number (9563648640).

Almost surely, 2^{3289461948864} 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 3289461948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426771886080).

3289461948864 is an abundant number, since it is smaller than the sum of its proper divisors (9564081823296).

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

3289461948864 is a wasteful number, since it uses less digits than its factorization.

3289461948864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1838 counting only the distinct ones).

The product of its digits is 573308928, while the sum is 72.

The spelling of 3289461948864 in words is "three trillion, two hundred eighty-nine billion, four hundred sixty-one million, nine hundred forty-eight thousand, eight hundred sixty-four".