3355442400 has 288 divisors, whose sum is σ = 11541761280. Its totient is φ = 845025280.

The previous prime is 3355442381. The next prime is 3355442401. The reversal of 3355442400 is 42445533.

It is a super-3 number, since 3×3355442400³ (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 (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355442401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4912459 + ... + 4913141.

It is an arithmetic number, because the mean of its divisors is an integer number (40075560).

Almost surely, 2^3355442400 is an apocalyptic number.

3355442400 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 3355442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770880640).

3355442400 is an abundant number, since it is smaller than the sum of its proper divisors (8186318880).

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

3355442400 is a wasteful number, since it uses less digits than its factorization.

3355442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3355442400 is about 57926.1806094619. The cubic root of 3355442400 is about 1497.0969629864.

Adding to 3355442400 its reverse (42445533), we get a palindrome (3397887933).

The spelling of 3355442400 in words is "three billion, three hundred fifty-five million, four hundred forty-two thousand, four hundred".