3481368364800 has 1296 divisors, whose sum is σ = 13508862127488. Its totient is φ = 852177715200.

The previous prime is 3481368364787. The next prime is 3481368364883. The reversal of 3481368364800 is 84638631843.

3481368364800 is a `hidden beast` number, since 3 + 4 + 81 + 3 + 6 + 83 + 6 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 8077420585 + ... + 8077421015.

It is an arithmetic number, because the mean of its divisors is an integer number (10423504728).

Almost surely, 2^{3481368364800} is an apocalyptic number.

3481368364800 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 3481368364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6754431063744).

3481368364800 is an abundant number, since it is smaller than the sum of its proper divisors (10027493762688).

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

3481368364800 is a wasteful number, since it uses less digits than its factorization.

3481368364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 3481368364800 in words is "three trillion, four hundred eighty-one billion, three hundred sixty-eight million, three hundred sixty-four thousand, eight hundred".