3478246281120 has 192 divisors, whose sum is σ = 11871673317504. Its totient is φ = 850930790400.

The previous prime is 3478246281077. The next prime is 3478246281149. The reversal of 3478246281120 is 211826428743.

3478246281120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3478246281120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3478246281120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 692731 + ... + 2726970.

It is an arithmetic number, because the mean of its divisors is an integer number (61831631862).

Almost surely, 2^{3478246281120} is an apocalyptic number.

3478246281120 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 3478246281120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935836658752).

3478246281120 is an abundant number, since it is smaller than the sum of its proper divisors (8393427036384).

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

3478246281120 is a wasteful number, since it uses less digits than its factorization.

3478246281120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419895 (or 3419887 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 3478246281120 in words is "three trillion, four hundred seventy-eight billion, two hundred forty-six million, two hundred eighty-one thousand, one hundred twenty".