3354244508160 has 3840 divisors, whose sum is σ = 16563054182400. Its totient is φ = 626053349376.

The previous prime is 3354244508113. The next prime is 3354244508161. The reversal of 3354244508160 is 618054424533.

3354244508160 is a `hidden beast` number, since 3 + 3 + 5 + 42 + 44 + 508 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×3354244508160² (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 not an unprimeable number, because it can be changed into a prime (3354244508161) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 26411374017 + ... + 26411374143.

It is an arithmetic number, because the mean of its divisors is an integer number (4313295360).

Almost surely, 2^{3354244508160} is an apocalyptic number.

3354244508160 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 3354244508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281527091200).

3354244508160 is an abundant number, since it is smaller than the sum of its proper divisors (13208809674240).

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

3354244508160 is a wasteful number, since it uses less digits than its factorization.

3354244508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 3354244508160 in words is "three trillion, three hundred fifty-four billion, two hundred forty-four million, five hundred eight thousand, one hundred sixty".