3483681321120 has 2304 divisors, whose sum is σ = 15816377364480. Its totient is φ = 625384488960.

The previous prime is 3483681321119. The next prime is 3483681321143. The reversal of 3483681321120 is 211231863843.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 383 ways as a sum of consecutive naturals, for example, 11347496007 + ... + 11347496313.

It is an arithmetic number, because the mean of its divisors is an integer number (6864747120).

Almost surely, 2^{3483681321120} is an apocalyptic number.

3483681321120 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 3483681321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7908188682240).

3483681321120 is an abundant number, since it is smaller than the sum of its proper divisors (12332696043360).

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

3483681321120 is a wasteful number, since it uses less digits than its factorization.

3483681321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 3483681321120 in words is "three trillion, four hundred eighty-three billion, six hundred eighty-one million, three hundred twenty-one thousand, one hundred twenty".