3411244033400 has 192 divisors, whose sum is σ = 9469570248000. Its totient is φ = 1118057472000.

The previous prime is 3411244033397. The next prime is 3411244033403. The reversal of 3411244033400 is 43304421143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3411244033397) and next prime (3411244033403).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411244033403) 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, 3684656 + ... + 4516544.

It is an arithmetic number, because the mean of its divisors is an integer number (49320678375).

Almost surely, 2^{3411244033400} 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 3411244033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4734785124000).

3411244033400 is an abundant number, since it is smaller than the sum of its proper divisors (6058326214600).

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

3411244033400 is a wasteful number, since it uses less digits than its factorization.

3411244033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832042 (or 832033 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 3411244033400 its reverse (43304421143), we get a palindrome (3454548454543).

The spelling of 3411244033400 in words is "three trillion, four hundred eleven billion, two hundred forty-four million, thirty-three thousand, four hundred".