3473968988160 has 1344 divisors, whose sum is σ = 14205597557760. Its totient is φ = 797253304320.

The previous prime is 3473968988111. The next prime is 3473968988173. The reversal of 3473968988160 is 618898693743.

3473968988160 is a `hidden beast` number, since 3 + 473 + 9 + 6 + 8 + 98 + 8 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35814113232 + ... + 35814113328.

It is an arithmetic number, because the mean of its divisors is an integer number (10569641040).

Almost surely, 2^{3473968988160} is an apocalyptic number.

3473968988160 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 3473968988160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7102798778880).

3473968988160 is an abundant number, since it is smaller than the sum of its proper divisors (10731628569600).

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

3473968988160 is an frugal number, since it uses more digits than its factorization.

3473968988160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 3473968988160 in words is "three trillion, four hundred seventy-three billion, nine hundred sixty-eight million, nine hundred eighty-eight thousand, one hundred sixty".