3783448166400 has 576 divisors, whose sum is σ = 15489291620400. Its totient is φ = 864776355840.

The previous prime is 3783448166383. The next prime is 3783448166417. The reversal of 3783448166400 is 46618443873.

3783448166400 is a `hidden beast` number, since 3 + 7 + 8 + 34 + 48 + 166 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3783448166383) and next prime (3783448166417).

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51572946 + ... + 51646254.

Almost surely, 2^{3783448166400} is an apocalyptic number.

3783448166400 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 3783448166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7744645810200).

3783448166400 is an abundant number, since it is smaller than the sum of its proper divisors (11705843454000).

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

3783448166400 is an equidigital number, since it uses as much as digits as its factorization.

3783448166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73362 (or 73326 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3783448166400 in words is "three trillion, seven hundred eighty-three billion, four hundred forty-eight million, one hundred sixty-six thousand, four hundred".