3360864292800 has 1008 divisors, whose sum is σ = 13069178019072. Its totient is φ = 753784012800.

The previous prime is 3360864292781. The next prime is 3360864292823. The reversal of 3360864292800 is 82924680633.

It is a super-2 number, since 2×3360864292800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 5226849279 + ... + 5226849921.

It is an arithmetic number, because the mean of its divisors is an integer number (12965454384).

Almost surely, 2^{3360864292800} is an apocalyptic number.

3360864292800 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 3360864292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6534589009536).

3360864292800 is an abundant number, since it is smaller than the sum of its proper divisors (9708313726272).

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

3360864292800 is a wasteful number, since it uses less digits than its factorization.

3360864292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 3360864292800 in words is "three trillion, three hundred sixty billion, eight hundred sixty-four million, two hundred ninety-two thousand, eight hundred".