3800182880 has 144 divisors (see below), whose sum is σ = 9849660912. Its totient is φ = 1377331200.

The previous prime is 3800182829. The next prime is 3800182901. The reversal of 3800182880 is 882810083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7739435 + ... + 7739925.

It is an arithmetic number, because the mean of its divisors is an integer number (68400423).

Almost surely, 2^3800182880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3800182880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924830456).

3800182880 is an abundant number, since it is smaller than the sum of its proper divisors (6049478032).

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

3800182880 is a wasteful number, since it uses less digits than its factorization.

3800182880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 38.

The square root of 3800182880 is about 61645.6233645179. The cubic root of 3800182880 is about 1560.5157838632.

The spelling of 3800182880 in words is "three billion, eight hundred million, one hundred eighty-two thousand, eight hundred eighty".