3411441200 has 120 divisors (see below), whose sum is σ = 8399908800. Its totient is φ = 1331066880.

The previous prime is 3411441197. The next prime is 3411441223. The reversal of 3411441200 is 21441143.

3411441200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3411441200² = 23275862122114880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 2811794 + ... + 2813006.

It is an arithmetic number, because the mean of its divisors is an integer number (69999240).

Almost surely, 2^3411441200 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 3411441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199954400).

3411441200 is an abundant number, since it is smaller than the sum of its proper divisors (4988467600).

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

3411441200 is a wasteful number, since it uses less digits than its factorization.

3411441200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 3411441200 is about 58407.5440332839. The cubic root of 3411441200 is about 1505.3793814050.

Adding to 3411441200 its reverse (21441143), we get a palindrome (3432882343).

The spelling of 3411441200 in words is "three billion, four hundred eleven million, four hundred forty-one thousand, two hundred".