3355468600 has 96 divisors (see below), whose sum is σ = 8549452800. Its totient is φ = 1214614400.

The previous prime is 3355468573. The next prime is 3355468621. The reversal of 3355468600 is 68645533.

It is a super-3 number, since 3×3355468600³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 496041 + ... + 502759.

It is an arithmetic number, because the mean of its divisors is an integer number (89056800).

Almost surely, 2^3355468600 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 3355468600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274726400).

3355468600 is an abundant number, since it is smaller than the sum of its proper divisors (5193984200).

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

3355468600 is a wasteful number, since it uses less digits than its factorization.

3355468600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6973 (or 6964 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 3355468600 is about 57926.4067589213. The cubic root of 3355468600 is about 1497.1008595256.

The spelling of 3355468600 in words is "three billion, three hundred fifty-five million, four hundred sixty-eight thousand, six hundred".