3800178180216 has 256 divisors, whose sum is σ = 11932225344000. Its totient is φ = 1110045404160.

The previous prime is 3800178180191. The next prime is 3800178180221. The reversal of 3800178180216 is 6120818710083.

It is a happy number.

3800178180216 is a `hidden beast` number, since 380 + 0 + 1 + 78 + 180 + 21 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42469075 + ... + 42558461.

It is an arithmetic number, because the mean of its divisors is an integer number (46610255250).

Almost surely, 2^{3800178180216} is an apocalyptic number.

3800178180216 is a gapful number since it is divisible by the number (36) 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 3800178180216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966112672000).

3800178180216 is an abundant number, since it is smaller than the sum of its proper divisors (8132047163784).

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

3800178180216 is a wasteful number, since it uses less digits than its factorization.

3800178180216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90059 (or 90049 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 3800178180216 in words is "three trillion, eight hundred billion, one hundred seventy-eight million, one hundred eighty thousand, two hundred sixteen".