3343261600 has 288 divisors, whose sum is σ = 9867868416. Its totient is φ = 1081344000.

The previous prime is 3343261589. The next prime is 3343261631. The reversal of 3343261600 is 61623433.

It is a super-2 number, since 2×3343261600² = 22354796252069120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13008672 + ... + 13008928.

It is an arithmetic number, because the mean of its divisors is an integer number (34263432).

Almost surely, 2^3343261600 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 3343261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4933934208).

3343261600 is an abundant number, since it is smaller than the sum of its proper divisors (6524606816).

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

3343261600 is a wasteful number, since it uses less digits than its factorization.

3343261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 3343261600 is about 57820.9443022163. The cubic root of 3343261600 is about 1495.2831982155.

The spelling of 3343261600 in words is "three billion, three hundred forty-three million, two hundred sixty-one thousand, six hundred".