3789446880 has 384 divisors, whose sum is σ = 13445139456. Its totient is φ = 892108800.

The previous prime is 3789446839. The next prime is 3789446917. The reversal of 3789446880 is 886449873.

It is a self number, because there is not a number n which added to its sum of digits gives 3789446880.

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, 11448315 + ... + 11448645.

It is an arithmetic number, because the mean of its divisors is an integer number (35013384).

Almost surely, 2^3789446880 is an apocalyptic number.

3789446880 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 3789446880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6722569728).

3789446880 is an abundant number, since it is smaller than the sum of its proper divisors (9655692576).

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

3789446880 is a wasteful number, since it uses less digits than its factorization.

3789446880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The square root of 3789446880 is about 61558.4834121179. The cubic root of 3789446880 is about 1559.0448459370.

The spelling of 3789446880 in words is "three billion, seven hundred eighty-nine million, four hundred forty-six thousand, eight hundred eighty".