3344561220 has 384 divisors, whose sum is σ = 12680478720. Its totient is φ = 636088320.

The previous prime is 3344561177. The next prime is 3344561221. The reversal of 3344561220 is 221654433.

3344561220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3344561220² = 22372179508655776800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3344561221) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13993861 + ... + 13994099.

It is an arithmetic number, because the mean of its divisors is an integer number (33022080).

Almost surely, 2^3344561220 is an apocalyptic number.

3344561220 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 3344561220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

3344561220 is an abundant number, since it is smaller than the sum of its proper divisors (9335917500).

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

3344561220 is a wasteful number, since it uses less digits than its factorization.

3344561220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3344561220 is about 57832.1815255140. The cubic root of 3344561220 is about 1495.4769260210.

The spelling of 3344561220 in words is "three billion, three hundred forty-four million, five hundred sixty-one thousand, two hundred twenty".