3287092668160 has 864 divisors, whose sum is σ = 9897848593920. Its totient is φ = 1040449536000.

The previous prime is 3287092668157. The next prime is 3287092668163. The reversal of 3287092668160 is 618662907823.

It is an interprime number because it is at equal distance from previous prime (3287092668157) and next prime (3287092668163).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 3287092668095 and 3287092668104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287092668163) 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, 5469371860 + ... + 5469372460.

It is an arithmetic number, because the mean of its divisors is an integer number (11455843280).

Almost surely, 2^{3287092668160} 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 3287092668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4948924296960).

3287092668160 is an abundant number, since it is smaller than the sum of its proper divisors (6610755925760).

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

3287092668160 is a wasteful number, since it uses less digits than its factorization.

3287092668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 3287092668160 in words is "three trillion, two hundred eighty-seven billion, ninety-two million, six hundred sixty-eight thousand, one hundred sixty".