3329654312160 has 384 divisors, whose sum is σ = 12870193835520. Its totient is φ = 807187991040.

The previous prime is 3329654312141. The next prime is 3329654312167. The reversal of 3329654312160 is 612134569233.

3329654312160 is a `hidden beast` number, since 3 + 3 + 2 + 96 + 543 + 1 + 2 + 16 + 0 = 666.

It is a super-2 number, since 2×3329654312160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329654312167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3416599 + ... + 4281641.

It is an arithmetic number, because the mean of its divisors is an integer number (33516129780).

Almost surely, 2^{3329654312160} is an apocalyptic number.

3329654312160 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 3329654312160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435096917760).

3329654312160 is an abundant number, since it is smaller than the sum of its proper divisors (9540539523360).

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

3329654312160 is an equidigital number, since it uses as much as digits as its factorization.

3329654312160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865090 (or 865064 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 3329654312160 in words is "three trillion, three hundred twenty-nine billion, six hundred fifty-four million, three hundred twelve thousand, one hundred sixty".