3343420800 has 240 divisors, whose sum is σ = 12338914500. Its totient is φ = 891509760.

The previous prime is 3343420771. The next prime is 3343420831. The reversal of 3343420800 is 80243433.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3343420800² = 22356925291745280000, 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 polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 252751 + ... + 265649.

Almost surely, 2^3343420800 is an apocalyptic number.

3343420800 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 3343420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169457250).

3343420800 is an abundant number, since it is smaller than the sum of its proper divisors (8995493700).

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

3343420800 is a wasteful number, since it uses less digits than its factorization.

3343420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12935 (or 12909 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3343420800 is about 57822.3209496125. The cubic root of 3343420800 is about 1495.3069320554.

The spelling of 3343420800 in words is "three billion, three hundred forty-three million, four hundred twenty thousand, eight hundred".