3355400 has 48 divisors (see below), whose sum is σ = 8221200. Its totient is φ = 1270080.

The previous prime is 3355369. The next prime is 3355403. The reversal of 3355400 is 45533.

It is a super-3 number, since 3×3355400³ (a number of 21 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 (20).

It is not an unprimeable number, because it can be changed into a prime (3355403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3359 + ... + 4241.

It is an arithmetic number, because the mean of its divisors is an integer number (171275).

Almost surely, 2^3355400 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 3355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110600).

3355400 is an abundant number, since it is smaller than the sum of its proper divisors (4865800).

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

3355400 is a wasteful number, since it uses less digits than its factorization.

3355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 3355400 is about 1831.7750953651. The cubic root of 3355400 is about 149.7090657094.

The spelling of 3355400 in words is "three million, three hundred fifty-five thousand, four hundred".