3344885280 has 576 divisors, whose sum is σ = 13191897600. Its totient is φ = 800616960.

The previous prime is 3344885273. The next prime is 3344885321. The reversal of 3344885280 is 825884433.

3344885280 is a `hidden beast` number, since 3 + 3 + 44 + 88 + 528 + 0 = 666.

3344885280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3344885280² = 22376515072721356800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42340281 + ... + 42340359.

It is an arithmetic number, because the mean of its divisors is an integer number (22902600).

Almost surely, 2^3344885280 is an apocalyptic number.

3344885280 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 3344885280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595948800).

3344885280 is an abundant number, since it is smaller than the sum of its proper divisors (9847012320).

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

3344885280 is an equidigital number, since it uses as much as digits as its factorization.

3344885280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 3344885280 is about 57834.9831849202. The cubic root of 3344885280 is about 1495.5252241953.

The spelling of 3344885280 in words is "three billion, three hundred forty-four million, eight hundred eighty-five thousand, two hundred eighty".