3813474458880 has 432 divisors, whose sum is σ = 13432541391360. Its totient is φ = 998596657152.

The previous prime is 3813474458873. The next prime is 3813474458897. The reversal of 3813474458880 is 888544743183.

It is a happy number.

3813474458880 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 4 + 7 + 44 + 588 + 8 + 0 = 666.

3813474458880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 759200049 + ... + 759205071.

Almost surely, 2^{3813474458880} is an apocalyptic number.

3813474458880 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 3813474458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6716270695680).

3813474458880 is an abundant number, since it is smaller than the sum of its proper divisors (9619066932480).

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

3813474458880 is a wasteful number, since it uses less digits than its factorization.

3813474458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6226 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 3813474458880 in words is "three trillion, eight hundred thirteen billion, four hundred seventy-four million, four hundred fifty-eight thousand, eight hundred eighty".