3420313344 has 288 divisors, whose sum is σ = 11647856640. Its totient is φ = 969781248.

The previous prime is 3420313333. The next prime is 3420313381. The reversal of 3420313344 is 4433130243.

3420313344 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 313 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3420313344² = 23397086742288924672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10789474 + ... + 10789790.

Almost surely, 2^3420313344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3420313344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823928320).

3420313344 is an abundant number, since it is smaller than the sum of its proper divisors (8227543296).

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

3420313344 is a wasteful number, since it uses less digits than its factorization.

3420313344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3420313344 is about 58483.4450421656. The cubic root of 3420313344 is about 1506.6832664089.

Adding to 3420313344 its reverse (4433130243), we get a palindrome (7853443587).

The spelling of 3420313344 in words is "three billion, four hundred twenty million, three hundred thirteen thousand, three hundred forty-four".