3780223473600 has 2016 divisors, whose sum is σ = 16492434416640. Its totient is φ = 833806172160.

The previous prime is 3780223473583. The next prime is 3780223473601. The reversal of 3780223473600 is 63743220873.

3780223473600 is a `hidden beast` number, since 3 + 7 + 8 + 0 + 2 + 2 + 34 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780223473601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10529870221 + ... + 10529870579.

It is an arithmetic number, because the mean of its divisors is an integer number (8180771040).

Almost surely, 2^{3780223473600} is an apocalyptic number.

3780223473600 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 3780223473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8246217208320).

3780223473600 is an abundant number, since it is smaller than the sum of its proper divisors (12712210943040).

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

3780223473600 is a wasteful number, since it uses less digits than its factorization.

3780223473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3780223473600 in words is "three trillion, seven hundred eighty billion, two hundred twenty-three million, four hundred seventy-three thousand, six hundred".