3413314944000 has 2816 divisors, whose sum is σ = 14871163507200. Its totient is φ = 764411904000.

The previous prime is 3413314943893. The next prime is 3413314944043. The reversal of 3413314944000 is 4494133143.

3413314944000 is a `hidden beast` number, since 3 + 41 + 33 + 149 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 31314815946 + ... + 31314816054.

It is an arithmetic number, because the mean of its divisors is an integer number (5280952950).

Almost surely, 2^{3413314944000} is an apocalyptic number.

3413314944000 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 3413314944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435581753600).

3413314944000 is an abundant number, since it is smaller than the sum of its proper divisors (11457848563200).

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

3413314944000 is a wasteful number, since it uses less digits than its factorization.

3413314944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 3413314944000 in words is "three trillion, four hundred thirteen billion, three hundred fourteen million, nine hundred forty-four thousand".