3472478009280 has 728 divisors, whose sum is σ = 14180001904608. Its totient is φ = 793437161472.

The previous prime is 3472478009279. The next prime is 3472478009309. The reversal of 3472478009280 is 829008742743.

It is a happy number.

3472478009280 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 478 + 0 + 0 + 92 + 80 = 666.

It is a super-2 number, since 2×3472478009280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 103 ways as a sum of consecutive naturals, for example, 1190426382 + ... + 1190429298.

Almost surely, 2^{3472478009280} is an apocalyptic number.

3472478009280 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 3472478009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7090000952304).

3472478009280 is an abundant number, since it is smaller than the sum of its proper divisors (10707523895328).

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

3472478009280 is an frugal number, since it uses more digits than its factorization.

3472478009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977 (or 2934 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3472478009280 in words is "three trillion, four hundred seventy-two billion, four hundred seventy-eight million, nine thousand, two hundred eighty".