3104411361600 has 168 divisors, whose sum is σ = 10187736474880. Its totient is φ = 827625185280.

The previous prime is 3104411361593. The next prime is 3104411361607. The reversal of 3104411361600 is 61631144013.

It is an interprime number because it is at equal distance from previous prime (3104411361593) and next prime (3104411361607).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3104411361607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18584049 + ... + 18750351.

Almost surely, 2^{3104411361600} is an apocalyptic number.

3104411361600 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 3104411361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093868237440).

3104411361600 is an abundant number, since it is smaller than the sum of its proper divisors (7083325113280).

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

3104411361600 is a wasteful number, since it uses less digits than its factorization.

3104411361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170217 (or 170202 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 3104411361600 in words is "three trillion, one hundred four billion, four hundred eleven million, three hundred sixty-one thousand, six hundred".