3478413818880 has 4928 divisors, whose sum is σ = 18042159744000. Its totient is φ = 632073093120.

The previous prime is 3478413818849. The next prime is 3478413818909. The reversal of 3478413818880 is 888183148743.

3478413818880 is a `hidden beast` number, since 3 + 478 + 4 + 1 + 3 + 8 + 1 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4928).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 447 ways as a sum of consecutive naturals, for example, 183074411511 + ... + 183074411529.

Almost surely, 2^{3478413818880} is an apocalyptic number.

3478413818880 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 3478413818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9021079872000).

3478413818880 is an abundant number, since it is smaller than the sum of its proper divisors (14563745925120).

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

3478413818880 is a wasteful number, since it uses less digits than its factorization.

3478413818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 63.

The spelling of 3478413818880 in words is "three trillion, four hundred seventy-eight billion, four hundred thirteen million, eight hundred eighteen thousand, eight hundred eighty".