3345368589360 has 960 divisors, whose sum is σ = 13666929070080. Its totient is φ = 717352796160.

The previous prime is 3345368589349. The next prime is 3345368589373. The reversal of 3345368589360 is 639858635433.

It is a happy number.

3345368589360 is a `hidden beast` number, since 3 + 3 + 4 + 536 + 8 + 5 + 8 + 93 + 6 + 0 = 666.

It is a super-2 number, since 2×3345368589360² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 633469920 + ... + 633475200.

It is an arithmetic number, because the mean of its divisors is an integer number (14236384448).

Almost surely, 2^{3345368589360} is an apocalyptic number.

3345368589360 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 3345368589360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833464535040).

3345368589360 is an abundant number, since it is smaller than the sum of its proper divisors (10321560480720).

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

3345368589360 is a wasteful number, since it uses less digits than its factorization.

3345368589360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 3345368589360 in words is "three trillion, three hundred forty-five billion, three hundred sixty-eight million, five hundred eighty-nine thousand, three hundred sixty".